LCM for 36 and 156
What's the Least Common Multiple (LCM) of 36 and 156?
(Four hundred sixty-eight)
Finding LCM for 36 and 156 using GCF's of these numbers
The first method to find LCM for numbers 36 and 156 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 36 and 156 is 12, so
LCM = (36 × 156) ÷ 12
LCM = 5616 ÷ 12
LCM = 468
Finding LCM for 36 and 156 by Listing Multiples
The second method to find LCM for numbers 36 and 156 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540
Multiples of 156: 156, 312, 468, 624, 780
So the LCM for 36 and 156 is 468
Finding LCM for 36 and 156 by Prime Factorization
Another method to find LCM for numbers 36 and 156 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)
All Prime Factors of 156: 2, 2, 3, 13 (exponent form: 22, 31, 131)
22 × 32 × 131 = 468
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/36--156">What is the LCM of 36 and 156? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 21 | 156 | 1092 |
| 22 | 156 | 1716 |
| 23 | 156 | 3588 |
| 24 | 156 | 312 |
| 25 | 156 | 3900 |
| 26 | 156 | 156 |
| 27 | 156 | 1404 |
| 28 | 156 | 1092 |
| 29 | 156 | 4524 |
| 30 | 156 | 780 |
| 31 | 156 | 4836 |
| 32 | 156 | 1248 |
| 33 | 156 | 1716 |
| 34 | 156 | 2652 |
| 35 | 156 | 5460 |
| 36 | 156 | 468 |
| 37 | 156 | 5772 |
| 38 | 156 | 2964 |
| 39 | 156 | 156 |
| 40 | 156 | 1560 |
| 41 | 156 | 6396 |
| 42 | 156 | 1092 |
| 43 | 156 | 6708 |
| 44 | 156 | 1716 |
| 45 | 156 | 2340 |
| 46 | 156 | 3588 |
| 47 | 156 | 7332 |
| 48 | 156 | 624 |
| 49 | 156 | 7644 |
| 50 | 156 | 3900 |
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