Least Common Multiple (LCM) of 135 and 99
The least common multiple (LCM) of 135 and 99 is 1485.
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 99?
First, calculate the GCD of 135 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 99 = 1 remainder 36 |
| 2 | 99 ÷ 36 = 2 remainder 27 |
| 3 | 36 ÷ 27 = 1 remainder 9 |
| 4 | 27 ÷ 9 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 73 | 11315 |
| 181 and 21 | 3801 |
| 132 and 129 | 5676 |
| 18 and 195 | 1170 |
| 136 and 56 | 952 |