Least Common Multiple (LCM) of 157 and 52
The least common multiple (LCM) of 157 and 52 is 8164.
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 52?
First, calculate the GCD of 157 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 52 = 3 remainder 1 |
| 2 | 52 ÷ 1 = 52 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 116 | 9396 |
| 175 and 18 | 3150 |
| 104 and 14 | 728 |
| 120 and 195 | 1560 |
| 157 and 43 | 6751 |