Least Common Multiple (LCM) of 129 and 137
The least common multiple (LCM) of 129 and 137 is 17673.
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 129 and 137?
First, calculate the GCD of 129 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 137 = 0 remainder 129 |
| 2 | 137 ÷ 129 = 1 remainder 8 |
| 3 | 129 ÷ 8 = 16 remainder 1 |
| 4 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 72 and 62 | 2232 |
| 111 and 81 | 2997 |
| 20 and 65 | 260 |
| 93 and 47 | 4371 |
| 116 and 154 | 8932 |