Least Common Multiple (LCM) of 124 and 100
The least common multiple (LCM) of 124 and 100 is 3100.
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 100?
First, calculate the GCD of 124 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 100 = 1 remainder 24 |
| 2 | 100 ÷ 24 = 4 remainder 4 |
| 3 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 112 and 157 | 17584 |
| 123 and 199 | 24477 |
| 64 and 44 | 704 |
| 197 and 27 | 5319 |
| 146 and 188 | 13724 |