LCM for 36 and 144
What's the Least Common Multiple (LCM) of 36 and 144?
Answer
(One hundred forty-four)
Finding LCM for 36 and 144 using GCF of these numbers
The first method to find LCM for numbers 36 and 144 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 36 and 144 is 36, so
LCM = (36 × 144) ÷ 36
LCM = 5184 ÷ 36
LCM = 144
Finding LCM for 36 and 144 by Listing Multiples
The second method to find LCM for numbers 36 and 144 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 36: 36, 72, 108, 144, 180, 216
Multiples of 144: 144, 288, 432
So the LCM for 36 and 144 is 144
Finding LCM for 36 and 144 by Prime Factorization
Another method to find LCM for numbers 36 and 144 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 144: 2, 2, 2, 2, 3, 3 (exponent form: 24, 32)
24 × 32 = 144
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/36--144">What is the LCM of 36 and 144? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 21 | 144 | 1008 |
| 22 | 144 | 1584 |
| 23 | 144 | 3312 |
| 24 | 144 | 144 |
| 25 | 144 | 3600 |
| 26 | 144 | 1872 |
| 27 | 144 | 432 |
| 28 | 144 | 1008 |
| 29 | 144 | 4176 |
| 30 | 144 | 720 |
| 31 | 144 | 4464 |
| 32 | 144 | 288 |
| 33 | 144 | 1584 |
| 34 | 144 | 2448 |
| 35 | 144 | 5040 |
| 36 | 144 | 144 |
| 37 | 144 | 5328 |
| 38 | 144 | 2736 |
| 39 | 144 | 1872 |
| 40 | 144 | 720 |
| 41 | 144 | 5904 |
| 42 | 144 | 1008 |
| 43 | 144 | 6192 |
| 44 | 144 | 1584 |
| 45 | 144 | 720 |
| 46 | 144 | 3312 |
| 47 | 144 | 6768 |
| 48 | 144 | 144 |
| 49 | 144 | 7056 |
| 50 | 144 | 3600 |
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