Least Common Multiple (LCM) of 124 and 32
The least common multiple (LCM) of 124 and 32 is 992.
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 124 and 32?
First, calculate the GCD of 124 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 32 = 3 remainder 28 |
| 2 | 32 ÷ 28 = 1 remainder 4 |
| 3 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 38 and 145 | 5510 |
| 55 and 95 | 1045 |
| 164 and 114 | 9348 |
| 199 and 170 | 33830 |
| 196 and 184 | 9016 |