Least Common Multiple (LCM) of 137 and 132
The least common multiple (LCM) of 137 and 132 is 18084.
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 132?
First, calculate the GCD of 137 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 132 = 1 remainder 5 |
| 2 | 132 ÷ 5 = 26 remainder 2 |
| 3 | 5 ÷ 2 = 2 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 19 and 101 | 1919 |
| 200 and 14 | 1400 |
| 77 and 139 | 10703 |
| 72 and 157 | 11304 |
| 78 and 80 | 3120 |