Least Common Multiple (LCM) of 157 and 160
The least common multiple (LCM) of 157 and 160 is 25120.
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 160?
First, calculate the GCD of 157 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 160 = 0 remainder 157 |
| 2 | 160 ÷ 157 = 1 remainder 3 |
| 3 | 157 ÷ 3 = 52 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 64 | 10688 |
| 35 and 65 | 455 |
| 193 and 105 | 20265 |
| 196 and 16 | 784 |
| 12 and 50 | 300 |