Least Common Multiple (LCM) of 156 and 131
The least common multiple (LCM) of 156 and 131 is 20436.
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 156 and 131?
First, calculate the GCD of 156 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 131 = 1 remainder 25 |
| 2 | 131 ÷ 25 = 5 remainder 6 |
| 3 | 25 ÷ 6 = 4 remainder 1 |
| 4 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 138 | 3588 |
| 142 and 12 | 852 |
| 178 and 136 | 12104 |
| 196 and 62 | 6076 |
| 57 and 101 | 5757 |