LCM for 54 and 18
What's the Least Common Multiple (LCM) of 54 and 18?
Answer
(Fifty-four)
Finding LCM for 54 and 18 using GCF of these numbers
The first method to find LCM for numbers 54 and 18 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 54 and 18 is 18, so
LCM = (54 × 18) ÷ 18
LCM = 972 ÷ 18
LCM = 54
Finding LCM for 54 and 18 by Listing Multiples
The second method to find LCM for numbers 54 and 18 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 54: 54, 108, 162
Multiples of 18: 18, 36, 54, 72, 90
So the LCM for 54 and 18 is 54
Finding LCM for 54 and 18 by Prime Factorization
Another method to find LCM for numbers 54 and 18 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 54: 2, 3, 3, 3 (exponent form: 21, 33)
All Prime Factors of 18: 2, 3, 3 (exponent form: 21, 32)
21 × 33 = 54
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/54--18">What is the LCM of 54 and 18? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 54 | 3 | 54 |
| 54 | 4 | 108 |
| 54 | 5 | 270 |
| 54 | 6 | 54 |
| 54 | 7 | 378 |
| 54 | 8 | 216 |
| 54 | 9 | 54 |
| 54 | 10 | 270 |
| 54 | 11 | 594 |
| 54 | 12 | 108 |
| 54 | 13 | 702 |
| 54 | 14 | 378 |
| 54 | 15 | 270 |
| 54 | 16 | 432 |
| 54 | 17 | 918 |
| 54 | 18 | 54 |
| 54 | 19 | 1026 |
| 54 | 20 | 540 |
| 54 | 21 | 378 |
| 54 | 22 | 594 |
| 54 | 23 | 1242 |
| 54 | 24 | 216 |
| 54 | 25 | 1350 |
| 54 | 26 | 702 |
| 54 | 27 | 54 |
| 54 | 28 | 756 |
| 54 | 29 | 1566 |
| 54 | 30 | 270 |
| 54 | 31 | 1674 |
| 54 | 32 | 864 |
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