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 |
|---|---|
| 156 and 167 | 26052 |
| 80 and 134 | 5360 |
| 183 and 71 | 12993 |
| 151 and 35 | 5285 |
| 57 and 154 | 8778 |