Least Common Multiple (LCM) of 136 and 45
The least common multiple (LCM) of 136 and 45 is 6120.
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 45?
First, calculate the GCD of 136 and 45 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 45 = 3 remainder 1 |
| 2 | 45 ÷ 1 = 45 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 57 | 5700 |
| 195 and 108 | 7020 |
| 111 and 91 | 10101 |
| 101 and 95 | 9595 |
| 94 and 96 | 4512 |