Least Common Multiple (LCM) of 157 and 79
The least common multiple (LCM) of 157 and 79 is 12403.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 157 and 79?
First, calculate the GCD of 157 and 79 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 79 = 1 remainder 78 |
| 2 | 79 ÷ 78 = 1 remainder 1 |
| 3 | 78 ÷ 1 = 78 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 41 | 41 |
| 65 and 13 | 65 |
| 198 and 53 | 10494 |
| 70 and 65 | 910 |
| 55 and 76 | 4180 |