Least Common Multiple (LCM) of 124 and 69
The least common multiple (LCM) of 124 and 69 is 8556.
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 69?
First, calculate the GCD of 124 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 69 = 1 remainder 55 |
| 2 | 69 ÷ 55 = 1 remainder 14 |
| 3 | 55 ÷ 14 = 3 remainder 13 |
| 4 | 14 ÷ 13 = 1 remainder 1 |
| 5 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 124 | 1612 |
| 198 and 193 | 38214 |
| 138 and 133 | 18354 |
| 110 and 72 | 3960 |
| 75 and 29 | 2175 |