Least Common Multiple (LCM) of 137 and 124
The least common multiple (LCM) of 137 and 124 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 137 and 124?
First, calculate the GCD of 137 and 124 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 124 = 1 remainder 13 |
| 2 | 124 ÷ 13 = 9 remainder 7 |
| 3 | 13 ÷ 7 = 1 remainder 6 |
| 4 | 7 ÷ 6 = 1 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 149 | 21903 |
| 110 and 17 | 1870 |
| 31 and 34 | 1054 |
| 82 and 43 | 3526 |
| 27 and 100 | 2700 |