Least Common Multiple (LCM) of 157 and 76
The least common multiple (LCM) of 157 and 76 is 11932.
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 76?
First, calculate the GCD of 157 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 76 = 2 remainder 5 |
| 2 | 76 ÷ 5 = 15 remainder 1 |
| 3 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 137 | 22605 |
| 129 and 64 | 8256 |
| 135 and 29 | 3915 |
| 138 and 10 | 690 |
| 27 and 35 | 945 |