Least Common Multiple (LCM) of 124 and 59
The least common multiple (LCM) of 124 and 59 is 7316.
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 59?
First, calculate the GCD of 124 and 59 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 59 = 2 remainder 6 |
| 2 | 59 ÷ 6 = 9 remainder 5 |
| 3 | 6 ÷ 5 = 1 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 177 and 36 | 2124 |
| 126 and 137 | 17262 |
| 51 and 38 | 1938 |
| 136 and 87 | 11832 |
| 163 and 89 | 14507 |