Least Common Multiple (LCM) of 138 and 136
The least common multiple (LCM) of 138 and 136 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 138 and 136?
First, calculate the GCD of 138 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 138 ÷ 136 = 1 remainder 2 |
| 2 | 136 ÷ 2 = 68 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 131 | 12969 |
| 111 and 171 | 6327 |
| 136 and 34 | 136 |
| 121 and 174 | 21054 |
| 89 and 56 | 4984 |