LCM for 54 and 138
What's the Least Common Multiple (LCM) of 54 and 138?
(One thousand, two hundred forty-two)
Finding LCM for 54 and 138 using GCF's of these numbers
The first method to find LCM for numbers 54 and 138 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 54 and 138 is 6, so
LCM = (54 × 138) ÷ 6
LCM = 7452 ÷ 6
LCM = 1242
Finding LCM for 54 and 138 by Listing Multiples
The second method to find LCM for numbers 54 and 138 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 54: 54, 108, 162, 216, 270, 324, 378, 432, 486, 540, 594, 648, 702, 756, 810, 864, 918, 972, 1026, 1080, 1134, 1188, 1242, 1296, 1350
Multiples of 138: 138, 276, 414, 552, 690, 828, 966, 1104, 1242, 1380, 1518
So the LCM for 54 and 138 is 1242
Finding LCM for 54 and 138 by Prime Factorization
Another method to find LCM for numbers 54 and 138 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 138: 2, 3, 23 (exponent form: 21, 31, 231)
21 × 33 × 231 = 1242
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--138">What is the LCM of 54 and 138? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 39 | 138 | 1794 |
| 40 | 138 | 2760 |
| 41 | 138 | 5658 |
| 42 | 138 | 966 |
| 43 | 138 | 5934 |
| 44 | 138 | 3036 |
| 45 | 138 | 2070 |
| 46 | 138 | 138 |
| 47 | 138 | 6486 |
| 48 | 138 | 1104 |
| 49 | 138 | 6762 |
| 50 | 138 | 3450 |
| 51 | 138 | 2346 |
| 52 | 138 | 3588 |
| 53 | 138 | 7314 |
| 54 | 138 | 1242 |
| 55 | 138 | 7590 |
| 56 | 138 | 3864 |
| 57 | 138 | 2622 |
| 58 | 138 | 4002 |
| 59 | 138 | 8142 |
| 60 | 138 | 1380 |
| 61 | 138 | 8418 |
| 62 | 138 | 4278 |
| 63 | 138 | 2898 |
| 64 | 138 | 4416 |
| 65 | 138 | 8970 |
| 66 | 138 | 1518 |
| 67 | 138 | 9246 |
| 68 | 138 | 4692 |
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