Least Common Multiple (LCM) of 137 and 129
The least common multiple (LCM) of 137 and 129 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 137 and 129?
First, calculate the GCD of 137 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 129 = 1 remainder 8 |
| 2 | 129 ÷ 8 = 16 remainder 1 |
| 3 | 8 ÷ 1 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 45 | 3690 |
| 183 and 104 | 19032 |
| 154 and 35 | 770 |
| 52 and 132 | 1716 |
| 170 and 125 | 4250 |