Least Common Multiple (LCM) of 12 and 131
The least common multiple (LCM) of 12 and 131 is 1572.
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 12 and 131?
First, calculate the GCD of 12 and 131 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 12 ÷ 131 = 0 remainder 12 |
| 2 | 131 ÷ 12 = 10 remainder 11 |
| 3 | 12 ÷ 11 = 1 remainder 1 |
| 4 | 11 ÷ 1 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 165 and 124 | 20460 |
| 129 and 161 | 20769 |
| 106 and 152 | 8056 |
| 106 and 87 | 9222 |
| 160 and 15 | 480 |