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 |
|---|---|
| 84 and 66 | 924 |
| 157 and 52 | 8164 |
| 70 and 193 | 13510 |
| 31 and 160 | 4960 |
| 197 and 100 | 19700 |