Least Common Multiple (LCM) of 136 and 140
The least common multiple (LCM) of 136 and 140 is 4760.
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 140?
First, calculate the GCD of 136 and 140 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 140 = 0 remainder 136 |
| 2 | 140 ÷ 136 = 1 remainder 4 |
| 3 | 136 ÷ 4 = 34 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 145 | 19430 |
| 71 and 26 | 1846 |
| 53 and 102 | 5406 |
| 131 and 93 | 12183 |
| 29 and 14 | 406 |