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 |
|---|---|
| 173 and 168 | 29064 |
| 149 and 42 | 6258 |
| 18 and 137 | 2466 |
| 149 and 193 | 28757 |
| 110 and 12 | 660 |