LCM for 24 and 160
What's the Least Common Multiple (LCM) of 24 and 160?
(Four hundred eighty)
Finding LCM for 24 and 160 using GCF's of these numbers
The first method to find LCM for numbers 24 and 160 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 24 and 160 is 8, so
LCM = (24 × 160) ÷ 8
LCM = 3840 ÷ 8
LCM = 480
Finding LCM for 24 and 160 by Listing Multiples
The second method to find LCM for numbers 24 and 160 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, 480, 504, 528
Multiples of 160: 160, 320, 480, 640, 800
So the LCM for 24 and 160 is 480
Finding LCM for 24 and 160 by Prime Factorization
Another method to find LCM for numbers 24 and 160 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 160: 2, 2, 2, 2, 2, 5 (exponent form: 25, 51)
25 × 31 × 51 = 480
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--160">What is the LCM of 24 and 160? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 9 | 160 | 1440 |
| 10 | 160 | 160 |
| 11 | 160 | 1760 |
| 12 | 160 | 480 |
| 13 | 160 | 2080 |
| 14 | 160 | 1120 |
| 15 | 160 | 480 |
| 16 | 160 | 160 |
| 17 | 160 | 2720 |
| 18 | 160 | 1440 |
| 19 | 160 | 3040 |
| 20 | 160 | 160 |
| 21 | 160 | 3360 |
| 22 | 160 | 1760 |
| 23 | 160 | 3680 |
| 24 | 160 | 480 |
| 25 | 160 | 800 |
| 26 | 160 | 2080 |
| 27 | 160 | 4320 |
| 28 | 160 | 1120 |
| 29 | 160 | 4640 |
| 30 | 160 | 480 |
| 31 | 160 | 4960 |
| 32 | 160 | 160 |
| 33 | 160 | 5280 |
| 34 | 160 | 2720 |
| 35 | 160 | 1120 |
| 36 | 160 | 1440 |
| 37 | 160 | 5920 |
| 38 | 160 | 3040 |
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