Least Common Multiple (LCM) of 156 and 132
The least common multiple (LCM) of 156 and 132 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 156 and 132?
First, calculate the GCD of 156 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 156 ÷ 132 = 1 remainder 24 |
| 2 | 132 ÷ 24 = 5 remainder 12 |
| 3 | 24 ÷ 12 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 112 | 1232 |
| 71 and 102 | 7242 |
| 77 and 20 | 1540 |
| 131 and 172 | 22532 |
| 139 and 80 | 11120 |