Least Common Multiple (LCM) of 132 and 156
The least common multiple (LCM) of 132 and 156 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 156?
First, calculate the GCD of 132 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 156 = 0 remainder 132 |
| 2 | 156 ÷ 132 = 1 remainder 24 |
| 3 | 132 ÷ 24 = 5 remainder 12 |
| 4 | 24 ÷ 12 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 79 | 13904 |
| 161 and 58 | 9338 |
| 165 and 176 | 2640 |
| 75 and 107 | 8025 |
| 126 and 27 | 378 |