Least Common Multiple (LCM) of 132 and 39
The least common multiple (LCM) of 132 and 39 is 1716.
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 132 and 39?
First, calculate the GCD of 132 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 39 = 3 remainder 15 |
| 2 | 39 ÷ 15 = 2 remainder 9 |
| 3 | 15 ÷ 9 = 1 remainder 6 |
| 4 | 9 ÷ 6 = 1 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 123 | 14883 |
| 160 and 19 | 3040 |
| 51 and 149 | 7599 |
| 96 and 79 | 7584 |
| 117 and 40 | 4680 |