LCM for 52 and 78
What's the Least Common Multiple (LCM) of 52 and 78?
Answer
(One hundred fifty-six)
Finding LCM for 52 and 78 using GCF of these numbers
The first method to find LCM for numbers 52 and 78 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 52 and 78 is 26, so
LCM = (52 × 78) ÷ 26
LCM = 4056 ÷ 26
LCM = 156
Finding LCM for 52 and 78 by Listing Multiples
The second method to find LCM for numbers 52 and 78 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 52: 52, 104, 156, 208, 260
Multiples of 78: 78, 156, 234, 312
So the LCM for 52 and 78 is 156
Finding LCM for 52 and 78 by Prime Factorization
Another method to find LCM for numbers 52 and 78 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 78: 2, 3, 13 (exponent form: 21, 31, 131)
22 × 131 × 31 = 156
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/52--78">What is the LCM of 52 and 78? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 37 | 78 | 2886 |
| 38 | 78 | 1482 |
| 39 | 78 | 78 |
| 40 | 78 | 1560 |
| 41 | 78 | 3198 |
| 42 | 78 | 546 |
| 43 | 78 | 3354 |
| 44 | 78 | 1716 |
| 45 | 78 | 1170 |
| 46 | 78 | 1794 |
| 47 | 78 | 3666 |
| 48 | 78 | 624 |
| 49 | 78 | 3822 |
| 50 | 78 | 1950 |
| 51 | 78 | 1326 |
| 52 | 78 | 156 |
| 53 | 78 | 4134 |
| 54 | 78 | 702 |
| 55 | 78 | 4290 |
| 56 | 78 | 2184 |
| 57 | 78 | 1482 |
| 58 | 78 | 2262 |
| 59 | 78 | 4602 |
| 60 | 78 | 780 |
| 61 | 78 | 4758 |
| 62 | 78 | 2418 |
| 63 | 78 | 1638 |
| 64 | 78 | 2496 |
| 65 | 78 | 390 |
| 66 | 78 | 858 |
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