Least Common Multiple (LCM) of 132 and 72
The least common multiple (LCM) of 132 and 72 is 792.
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 72?
First, calculate the GCD of 132 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 72 = 1 remainder 60 |
| 2 | 72 ÷ 60 = 1 remainder 12 |
| 3 | 60 ÷ 12 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 18 | 2934 |
| 63 and 90 | 630 |
| 157 and 63 | 9891 |
| 10 and 130 | 130 |
| 37 and 114 | 4218 |