Least Common Multiple (LCM) of 131 and 157
The least common multiple (LCM) of 131 and 157 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 131 and 157?
First, calculate the GCD of 131 and 157 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 131 ÷ 157 = 0 remainder 131 |
| 2 | 157 ÷ 131 = 1 remainder 26 |
| 3 | 131 ÷ 26 = 5 remainder 1 |
| 4 | 26 ÷ 1 = 26 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 64 | 4416 |
| 77 and 53 | 4081 |
| 152 and 164 | 6232 |
| 97 and 159 | 15423 |
| 159 and 140 | 22260 |