Find the lowest common multiple (LCM) of 2 numbers 2-100
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Free printable find the lowest common multiple (LCM) of 2 numbers 2–100 worksheets for 5th grade. Students use listing multiples or prime factorization to find the smallest number that is a multiple of both given numbers, a critical skill for adding and subtracting fractions with unlike denominators. Part of our factoring worksheets collection.
What You'll Learn
- Find the lowest common multiple of two numbers up to 100
- List multiples of each number to find the first shared
- Apply LCM to solve fraction and scheduling problems
FAQ
What are the two methods students use to find the LCM of two numbers?⌄
Listing multiples of each number until a common one is found works well for small numbers; for larger ones, students build each number's prime factorization and take the highest power of every prime that appears in either number.
How does the LCM help when adding fractions with unlike denominators?⌄
The LCM of the two denominators is the smallest common denominator (LCD), which students use to rewrite fractions as equivalent fractions before adding — giving the simplest possible working denominator.
What is the relationship between the GCF and LCM of two numbers?⌄
For any two numbers a and b, GCF(a,b) × LCM(a,b) = a × b — this relationship provides a shortcut (LCM = a × b ÷ GCF) and also deepens students' understanding of how factoring connects to both concepts.
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