Least Common Multiple (LCM) of 152 and 157
The least common multiple (LCM) of 152 and 157 is 23864.
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 152 and 157?
First, calculate the GCD of 152 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 152 ÷ 157 = 0 remainder 152 |
| 2 | 157 ÷ 152 = 1 remainder 5 |
| 3 | 152 ÷ 5 = 30 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 30 | 1410 |
| 117 and 20 | 2340 |
| 160 and 108 | 4320 |
| 157 and 113 | 17741 |
| 142 and 187 | 26554 |