LCM for 96 and 36
What's the Least Common Multiple (LCM) of 96 and 36?
Answer
(Two hundred eighty-eight)
Finding LCM for 96 and 36 using GCF of these numbers
The first method to find LCM for numbers 96 and 36 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 96 and 36 is 12, so
LCM = (96 × 36) ÷ 12
LCM = 3456 ÷ 12
LCM = 288
Finding LCM for 96 and 36 by Listing Multiples
The second method to find LCM for numbers 96 and 36 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 96: 96, 192, 288, 384, 480
Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360
So the LCM for 96 and 36 is 288
Finding LCM for 96 and 36 by Prime Factorization
Another method to find LCM for numbers 96 and 36 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 96: 2, 2, 2, 2, 2, 3 (exponent form: 25, 31)
All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)
25 × 32 = 288
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/96--36">What is the LCM of 96 and 36? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 96 | 21 | 672 |
| 96 | 22 | 1056 |
| 96 | 23 | 2208 |
| 96 | 24 | 96 |
| 96 | 25 | 2400 |
| 96 | 26 | 1248 |
| 96 | 27 | 864 |
| 96 | 28 | 672 |
| 96 | 29 | 2784 |
| 96 | 30 | 480 |
| 96 | 31 | 2976 |
| 96 | 32 | 96 |
| 96 | 33 | 1056 |
| 96 | 34 | 1632 |
| 96 | 35 | 3360 |
| 96 | 36 | 288 |
| 96 | 37 | 3552 |
| 96 | 38 | 1824 |
| 96 | 39 | 1248 |
| 96 | 40 | 480 |
| 96 | 41 | 3936 |
| 96 | 42 | 672 |
| 96 | 43 | 4128 |
| 96 | 44 | 1056 |
| 96 | 45 | 1440 |
| 96 | 46 | 2208 |
| 96 | 47 | 4512 |
| 96 | 48 | 96 |
| 96 | 49 | 4704 |
| 96 | 50 | 2400 |
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