Least Common Multiple (LCM) of 136 and 110
The least common multiple (LCM) of 136 and 110 is 7480.
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 110?
First, calculate the GCD of 136 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 136 ÷ 110 = 1 remainder 26 |
| 2 | 110 ÷ 26 = 4 remainder 6 |
| 3 | 26 ÷ 6 = 4 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 143 | 19019 |
| 145 and 96 | 13920 |
| 29 and 184 | 5336 |
| 117 and 120 | 4680 |
| 105 and 96 | 3360 |