LCM for 7 and 36
What's the Least Common Multiple (LCM) of 7 and 36?
(Two hundred fifty-two)
Finding LCM for 7 and 36 using GCF's of these numbers
The first method to find LCM for numbers 7 and 36 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 7 and 36 is 1, so
LCM = (7 × 36) ÷ 1
LCM = 252 ÷ 1
LCM = 252
Finding LCM for 7 and 36 by Listing Multiples
The second method to find LCM for numbers 7 and 36 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, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266
Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324
So the LCM for 7 and 36 is 252
Finding LCM for 7 and 36 by Prime Factorization
Another method to find LCM for numbers 7 and 36 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 36: 2, 2, 3, 3 (exponent form: 22, 32)
71 × 22 × 32 = 252
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/7--36">What is the LCM of 7 and 36? - Calculatio</a>
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