Least Common Multiple (LCM) of 136 and 95
The least common multiple (LCM) of 136 and 95 is 12920.
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 95?
First, calculate the GCD of 136 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 95 = 1 remainder 41 |
| 2 | 95 ÷ 41 = 2 remainder 13 |
| 3 | 41 ÷ 13 = 3 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 119 | 2856 |
| 172 and 183 | 31476 |
| 114 and 107 | 12198 |
| 172 and 171 | 29412 |
| 96 and 185 | 17760 |