Least Common Multiple (LCM) of 135 and 110
The least common multiple (LCM) of 135 and 110 is 2970.
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 135 and 110?
First, calculate the GCD of 135 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 110 = 1 remainder 25 |
| 2 | 110 ÷ 25 = 4 remainder 10 |
| 3 | 25 ÷ 10 = 2 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 119 and 175 | 2975 |
| 112 and 141 | 15792 |
| 134 and 18 | 1206 |
| 144 and 116 | 4176 |
| 38 and 196 | 3724 |