Least Common Multiple (LCM) of 157 and 157
The least common multiple (LCM) of 157 and 157 is 157.
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 157?
First, calculate the GCD of 157 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 157 = 1 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 13 | 1027 |
| 73 and 180 | 13140 |
| 108 and 11 | 1188 |
| 182 and 122 | 11102 |
| 172 and 57 | 9804 |