LCM for 52 and 312
What's the Least Common Multiple (LCM) of 52 and 312?
(Three hundred twelve)
Finding LCM for 52 and 312 using GCF's of these numbers
The first method to find LCM for numbers 52 and 312 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 52 and 312 is 52, so
LCM = (52 × 312) ÷ 52
LCM = 16224 ÷ 52
LCM = 312
Finding LCM for 52 and 312 by Listing Multiples
The second method to find LCM for numbers 52 and 312 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 52: 52, 104, 156, 208, 260, 312, 364, 416
Multiples of 312: 312, 624, 936, 1248, 1560, 1872, 2184, 2496, [...], 312
So the LCM for 52 and 312 is 312
Finding LCM for 52 and 312 by Prime Factorization
Another method to find LCM for numbers 52 and 312 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 52: 2, 2, 13 (exponent form: 22, 131)
All Prime Factors of 312: 2, 2, 2, 3, 13 (exponent form: 23, 31, 131)
23 × 131 × 31 = 312
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/52--312">What is the LCM of 52 and 312? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 37 | 312 | 11544 |
| 38 | 312 | 5928 |
| 39 | 312 | 312 |
| 40 | 312 | 1560 |
| 41 | 312 | 12792 |
| 42 | 312 | 2184 |
| 43 | 312 | 13416 |
| 44 | 312 | 3432 |
| 45 | 312 | 4680 |
| 46 | 312 | 7176 |
| 47 | 312 | 14664 |
| 48 | 312 | 624 |
| 49 | 312 | 15288 |
| 50 | 312 | 7800 |
| 51 | 312 | 5304 |
| 52 | 312 | 312 |
| 53 | 312 | 16536 |
| 54 | 312 | 2808 |
| 55 | 312 | 17160 |
| 56 | 312 | 2184 |
| 57 | 312 | 5928 |
| 58 | 312 | 9048 |
| 59 | 312 | 18408 |
| 60 | 312 | 1560 |
| 61 | 312 | 19032 |
| 62 | 312 | 9672 |
| 63 | 312 | 6552 |
| 64 | 312 | 2496 |
| 65 | 312 | 1560 |
| 66 | 312 | 3432 |
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