Least Common Multiple (LCM) of 136 and 94
The least common multiple (LCM) of 136 and 94 is 6392.
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 94?
First, calculate the GCD of 136 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 94 = 1 remainder 42 |
| 2 | 94 ÷ 42 = 2 remainder 10 |
| 3 | 42 ÷ 10 = 4 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 166 and 65 | 10790 |
| 32 and 23 | 736 |
| 23 and 109 | 2507 |
| 20 and 45 | 180 |
| 107 and 74 | 7918 |