Least Common Multiple (LCM) of 156 and 157
The least common multiple (LCM) of 156 and 157 is 24492.
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 156 and 157?
First, calculate the GCD of 156 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 157 = 0 remainder 156 |
| 2 | 157 ÷ 156 = 1 remainder 1 |
| 3 | 156 ÷ 1 = 156 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 197 | 3940 |
| 196 and 26 | 2548 |
| 127 and 50 | 6350 |
| 75 and 157 | 11775 |
| 128 and 118 | 7552 |