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 |
|---|---|
| 110 and 173 | 19030 |
| 130 and 148 | 9620 |
| 172 and 76 | 3268 |
| 30 and 11 | 330 |
| 107 and 178 | 19046 |