Least Common Multiple (LCM) of 124 and 175
The least common multiple (LCM) of 124 and 175 is 21700.
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 175?
First, calculate the GCD of 124 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 175 = 0 remainder 124 |
| 2 | 175 ÷ 124 = 1 remainder 51 |
| 3 | 124 ÷ 51 = 2 remainder 22 |
| 4 | 51 ÷ 22 = 2 remainder 7 |
| 5 | 22 ÷ 7 = 3 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 78 and 71 | 5538 |
| 113 and 118 | 13334 |
| 14 and 110 | 770 |
| 200 and 63 | 12600 |
| 25 and 68 | 1700 |