LCM for 7 and 15
What's the Least Common Multiple (LCM) of 7 and 15?
(One hundred five)
Finding LCM for 7 and 15 using GCF's of these numbers
The first method to find LCM for numbers 7 and 15 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 7 and 15 is 1, so
LCM = (7 × 15) ÷ 1
LCM = 105 ÷ 1
LCM = 105
Finding LCM for 7 and 15 by Listing Multiples
The second method to find LCM for numbers 7 and 15 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119
Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135
So the LCM for 7 and 15 is 105
Finding LCM for 7 and 15 by Prime Factorization
Another method to find LCM for numbers 7 and 15 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 7: 7 (exponent form: 71)
All Prime Factors of 15: 3, 5 (exponent form: 31, 51)
71 × 31 × 51 = 105
Related Calculations
LCM Table
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers