Least Common Multiple (LCM) of 132 and 124
The least common multiple (LCM) of 132 and 124 is 4092.
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 124?
First, calculate the GCD of 132 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 124 = 1 remainder 8 |
| 2 | 124 ÷ 8 = 15 remainder 4 |
| 3 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 21 | 357 |
| 122 and 74 | 4514 |
| 118 and 98 | 5782 |
| 138 and 72 | 1656 |
| 113 and 93 | 10509 |