Least Common Multiple (LCM) of 124 and 179
The least common multiple (LCM) of 124 and 179 is 22196.
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 179?
First, calculate the GCD of 124 and 179 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 179 = 0 remainder 124 |
| 2 | 179 ÷ 124 = 1 remainder 55 |
| 3 | 124 ÷ 55 = 2 remainder 14 |
| 4 | 55 ÷ 14 = 3 remainder 13 |
| 5 | 14 ÷ 13 = 1 remainder 1 |
| 6 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 124 | 15996 |
| 81 and 61 | 4941 |
| 27 and 198 | 594 |
| 126 and 30 | 630 |
| 60 and 126 | 1260 |