LCM for 38 and 57
What's the Least Common Multiple (LCM) of 38 and 57?
(One hundred fourteen)
Finding LCM for 38 and 57 using GCF's of these numbers
The first method to find LCM for numbers 38 and 57 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 38 and 57 is 19, so
LCM = (38 × 57) ÷ 19
LCM = 2166 ÷ 19
LCM = 114
Finding LCM for 38 and 57 by Listing Multiples
The second method to find LCM for numbers 38 and 57 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 38: 38, 76, 114, 152, 190
Multiples of 57: 57, 114, 171, 228
So the LCM for 38 and 57 is 114
Finding LCM for 38 and 57 by Prime Factorization
Another method to find LCM for numbers 38 and 57 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 38: 2, 19 (exponent form: 21, 191)
All Prime Factors of 57: 3, 19 (exponent form: 31, 191)
21 × 191 × 31 = 114
Related Calculations
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/38--57">What is the LCM of 38 and 57? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 23 | 57 | 1311 |
| 24 | 57 | 456 |
| 25 | 57 | 1425 |
| 26 | 57 | 1482 |
| 27 | 57 | 513 |
| 28 | 57 | 1596 |
| 29 | 57 | 1653 |
| 30 | 57 | 570 |
| 31 | 57 | 1767 |
| 32 | 57 | 1824 |
| 33 | 57 | 627 |
| 34 | 57 | 1938 |
| 35 | 57 | 1995 |
| 36 | 57 | 684 |
| 37 | 57 | 2109 |
| 38 | 57 | 114 |
| 39 | 57 | 741 |
| 40 | 57 | 2280 |
| 41 | 57 | 2337 |
| 42 | 57 | 798 |
| 43 | 57 | 2451 |
| 44 | 57 | 2508 |
| 45 | 57 | 855 |
| 46 | 57 | 2622 |
| 47 | 57 | 2679 |
| 48 | 57 | 912 |
| 49 | 57 | 2793 |
| 50 | 57 | 2850 |
| 51 | 57 | 969 |
| 52 | 57 | 2964 |
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