Least Common Multiple (LCM) of 157 and 131
The least common multiple (LCM) of 157 and 131 is 20567.
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 131?
First, calculate the GCD of 157 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 157 ÷ 131 = 1 remainder 26 |
| 2 | 131 ÷ 26 = 5 remainder 1 |
| 3 | 26 ÷ 1 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 83 and 22 | 1826 |
| 118 and 166 | 9794 |
| 105 and 171 | 5985 |
| 200 and 66 | 6600 |
| 137 and 169 | 23153 |