Least Common Multiple (LCM) of 137 and 138
The least common multiple (LCM) of 137 and 138 is 18906.
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 138?
First, calculate the GCD of 137 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 137 ÷ 138 = 0 remainder 137 |
| 2 | 138 ÷ 137 = 1 remainder 1 |
| 3 | 137 ÷ 1 = 137 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 149 | 29204 |
| 142 and 108 | 7668 |
| 46 and 78 | 1794 |
| 73 and 173 | 12629 |
| 149 and 35 | 5215 |