Least Common Multiple (LCM) of 124 and 74
The least common multiple (LCM) of 124 and 74 is 4588.
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 74?
First, calculate the GCD of 124 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 74 = 1 remainder 50 |
| 2 | 74 ÷ 50 = 1 remainder 24 |
| 3 | 50 ÷ 24 = 2 remainder 2 |
| 4 | 24 ÷ 2 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 113 | 15142 |
| 68 and 140 | 2380 |
| 37 and 99 | 3663 |
| 130 and 154 | 10010 |
| 144 and 74 | 5328 |