Least Common Multiple (LCM) of 124 and 62
The least common multiple (LCM) of 124 and 62 is 124.
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 62?
First, calculate the GCD of 124 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 62 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 81 | 1053 |
| 108 and 50 | 2700 |
| 196 and 72 | 3528 |
| 111 and 162 | 5994 |
| 183 and 47 | 8601 |