
Least Common Multiple (LCM) of 135 and 18
The least common multiple (LCM) of 135 and 18 is 270.
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 18?
First, calculate the GCD of 135 and 18 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 135 ÷ 18 = 7 remainder 9 |
2 | 18 ÷ 9 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
163 and 181 | 29503 |
118 and 143 | 16874 |
110 and 56 | 3080 |
121 and 184 | 22264 |
175 and 102 | 17850 |