Least Common Multiple (LCM) of 187 and 157
The least common multiple (LCM) of 187 and 157 is 29359.
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 187 and 157?
First, calculate the GCD of 187 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 157 = 1 remainder 30 |
| 2 | 157 ÷ 30 = 5 remainder 7 |
| 3 | 30 ÷ 7 = 4 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 119 | 13566 |
| 100 and 26 | 1300 |
| 138 and 199 | 27462 |
| 11 and 97 | 1067 |
| 121 and 12 | 1452 |