Least Common Multiple (LCM) of 139 and 136
The least common multiple (LCM) of 139 and 136 is 18904.
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 139 and 136?
First, calculate the GCD of 139 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 139 ÷ 136 = 1 remainder 3 |
| 2 | 136 ÷ 3 = 45 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 155 | 16120 |
| 24 and 102 | 408 |
| 56 and 14 | 56 |
| 51 and 169 | 8619 |
| 30 and 138 | 690 |