LCM for 24 and 204
What's the Least Common Multiple (LCM) of 24 and 204?
(Four hundred eight)
Finding LCM for 24 and 204 using GCF's of these numbers
The first method to find LCM for numbers 24 and 204 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 24 and 204 is 12, so
LCM = (24 × 204) ÷ 12
LCM = 4896 ÷ 12
LCM = 408
Finding LCM for 24 and 204 by Listing Multiples
The second method to find LCM for numbers 24 and 204 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456
Multiples of 204: 204, 408, 612, 816
So the LCM for 24 and 204 is 408
Finding LCM for 24 and 204 by Prime Factorization
Another method to find LCM for numbers 24 and 204 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 24: 2, 2, 2, 3 (exponent form: 23, 31)
All Prime Factors of 204: 2, 2, 3, 17 (exponent form: 22, 31, 171)
23 × 31 × 171 = 408
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/24--204">What is the LCM of 24 and 204? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 9 | 204 | 612 |
| 10 | 204 | 1020 |
| 11 | 204 | 2244 |
| 12 | 204 | 204 |
| 13 | 204 | 2652 |
| 14 | 204 | 1428 |
| 15 | 204 | 1020 |
| 16 | 204 | 816 |
| 17 | 204 | 204 |
| 18 | 204 | 612 |
| 19 | 204 | 3876 |
| 20 | 204 | 1020 |
| 21 | 204 | 1428 |
| 22 | 204 | 2244 |
| 23 | 204 | 4692 |
| 24 | 204 | 408 |
| 25 | 204 | 5100 |
| 26 | 204 | 2652 |
| 27 | 204 | 1836 |
| 28 | 204 | 1428 |
| 29 | 204 | 5916 |
| 30 | 204 | 1020 |
| 31 | 204 | 6324 |
| 32 | 204 | 1632 |
| 33 | 204 | 2244 |
| 34 | 204 | 204 |
| 35 | 204 | 7140 |
| 36 | 204 | 612 |
| 37 | 204 | 7548 |
| 38 | 204 | 3876 |
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