Least Common Multiple (LCM) of 179 and 124
The least common multiple (LCM) of 179 and 124 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 179 and 124?
First, calculate the GCD of 179 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 124 = 1 remainder 55 |
| 2 | 124 ÷ 55 = 2 remainder 14 |
| 3 | 55 ÷ 14 = 3 remainder 13 |
| 4 | 14 ÷ 13 = 1 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 125 | 19250 |
| 57 and 84 | 1596 |
| 197 and 39 | 7683 |
| 105 and 100 | 2100 |
| 151 and 90 | 13590 |