Least Common Multiple (LCM) of 136 and 138
The least common multiple (LCM) of 136 and 138 is 9384.
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 136 and 138?
First, calculate the GCD of 136 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 138 = 0 remainder 136 |
| 2 | 138 ÷ 136 = 1 remainder 2 |
| 3 | 136 ÷ 2 = 68 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 122 and 155 | 18910 |
| 123 and 113 | 13899 |
| 100 and 173 | 17300 |
| 56 and 53 | 2968 |
| 188 and 94 | 188 |