Least Common Multiple (LCM) of 110 and 136
The least common multiple (LCM) of 110 and 136 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 110 and 136?
First, calculate the GCD of 110 and 136 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 136 = 0 remainder 110 |
| 2 | 136 ÷ 110 = 1 remainder 26 |
| 3 | 110 ÷ 26 = 4 remainder 6 |
| 4 | 26 ÷ 6 = 4 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 79 and 97 | 7663 |
| 153 and 160 | 24480 |
| 127 and 114 | 14478 |
| 43 and 71 | 3053 |
| 185 and 102 | 18870 |