Least Common Multiple (LCM) of 32 and 124
The least common multiple (LCM) of 32 and 124 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 32 and 124?
First, calculate the GCD of 32 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 124 = 0 remainder 32 |
| 2 | 124 ÷ 32 = 3 remainder 28 |
| 3 | 32 ÷ 28 = 1 remainder 4 |
| 4 | 28 ÷ 4 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 62 | 9362 |
| 191 and 59 | 11269 |
| 177 and 52 | 9204 |
| 170 and 196 | 16660 |
| 176 and 103 | 18128 |