Least Common Multiple (LCM) of 124 and 88
The least common multiple (LCM) of 124 and 88 is 2728.
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 88?
First, calculate the GCD of 124 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 88 = 1 remainder 36 |
| 2 | 88 ÷ 36 = 2 remainder 16 |
| 3 | 36 ÷ 16 = 2 remainder 4 |
| 4 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 34 | 204 |
| 178 and 105 | 18690 |
| 33 and 69 | 759 |
| 192 and 195 | 12480 |
| 145 and 31 | 4495 |