Least Common Multiple (LCM) of 124 and 137
The least common multiple (LCM) of 124 and 137 is 16988.
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 137?
First, calculate the GCD of 124 and 137 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 124 ÷ 137 = 0 remainder 124 |
| 2 | 137 ÷ 124 = 1 remainder 13 |
| 3 | 124 ÷ 13 = 9 remainder 7 |
| 4 | 13 ÷ 7 = 1 remainder 6 |
| 5 | 7 ÷ 6 = 1 remainder 1 |
| 6 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 158 | 6320 |
| 20 and 105 | 420 |
| 178 and 99 | 17622 |
| 163 and 185 | 30155 |
| 185 and 20 | 740 |