Least Common Multiple (LCM) of 157 and 187
The least common multiple (LCM) of 157 and 187 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 157 and 187?
First, calculate the GCD of 157 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 187 = 0 remainder 157 |
| 2 | 187 ÷ 157 = 1 remainder 30 |
| 3 | 157 ÷ 30 = 5 remainder 7 |
| 4 | 30 ÷ 7 = 4 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 10 | 250 |
| 122 and 79 | 9638 |
| 159 and 40 | 6360 |
| 125 and 128 | 16000 |
| 193 and 70 | 13510 |