Least Common Multiple (LCM) of 100 and 124
The least common multiple (LCM) of 100 and 124 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 100 and 124?
First, calculate the GCD of 100 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 100 ÷ 124 = 0 remainder 100 |
| 2 | 124 ÷ 100 = 1 remainder 24 |
| 3 | 100 ÷ 24 = 4 remainder 4 |
| 4 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 175 and 16 | 2800 |
| 37 and 70 | 2590 |
| 76 and 198 | 7524 |
| 133 and 117 | 15561 |
| 56 and 14 | 56 |