Least Common Multiple (LCM) of 136 and 108
The least common multiple (LCM) of 136 and 108 is 3672.
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 108?
First, calculate the GCD of 136 and 108 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 108 = 1 remainder 28 |
| 2 | 108 ÷ 28 = 3 remainder 24 |
| 3 | 28 ÷ 24 = 1 remainder 4 |
| 4 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 109 | 1090 |
| 122 and 117 | 14274 |
| 172 and 120 | 5160 |
| 152 and 54 | 4104 |
| 88 and 132 | 264 |