Least Common Multiple (LCM) of 157 and 108
The least common multiple (LCM) of 157 and 108 is 16956.
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 108?
First, calculate the GCD of 157 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 108 = 1 remainder 49 |
| 2 | 108 ÷ 49 = 2 remainder 10 |
| 3 | 49 ÷ 10 = 4 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 198 | 29898 |
| 199 and 92 | 18308 |
| 200 and 131 | 26200 |
| 125 and 104 | 13000 |
| 188 and 154 | 14476 |