Least Common Multiple (LCM) of 95 and 136
The least common multiple (LCM) of 95 and 136 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 95 and 136?
First, calculate the GCD of 95 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 136 = 0 remainder 95 |
| 2 | 136 ÷ 95 = 1 remainder 41 |
| 3 | 95 ÷ 41 = 2 remainder 13 |
| 4 | 41 ÷ 13 = 3 remainder 2 |
| 5 | 13 ÷ 2 = 6 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 200 and 79 | 15800 |
| 173 and 75 | 12975 |
| 180 and 193 | 34740 |
| 13 and 76 | 988 |
| 30 and 26 | 390 |