Least Common Multiple (LCM) of 136 and 119
The least common multiple (LCM) of 136 and 119 is 952.
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 119?
First, calculate the GCD of 136 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 119 = 1 remainder 17 |
| 2 | 119 ÷ 17 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 181 | 19005 |
| 127 and 96 | 12192 |
| 128 and 186 | 11904 |
| 116 and 175 | 20300 |
| 17 and 86 | 1462 |