LCM for 7 and 36

What's the Least Common Multiple (LCM) of 7 and 36?

Answer: LCM of 7 and 36 is 252

(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

LCM Table

Number 1Number 2LCM
13636
23636
33636
43636
536180
636
736
836
936
1036
1136396
1236
1336468
1436252
1536
1636
1736612
1836
1936684
2036
2136
2236396
2336828
2436
2536
2636468
2736
2836
29361044
3036

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 7 and 36? (The answer is: 252). Select the first number (e.g. '7') and the second number (e.g. '36'). After that hit the 'Calculate' button.
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

FAQ

What's the Least Common Multiple (LCM) of 7 and 36?

LCM of 7 and 36 is 252