Least Common Multiple (LCM) of 135 and 153
The least common multiple (LCM) of 135 and 153 is 2295.
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 153?
First, calculate the GCD of 135 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 135 ÷ 153 = 0 remainder 135 |
| 2 | 153 ÷ 135 = 1 remainder 18 |
| 3 | 135 ÷ 18 = 7 remainder 9 |
| 4 | 18 ÷ 9 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 99 and 35 | 3465 |
| 83 and 34 | 2822 |
| 200 and 62 | 6200 |
| 189 and 74 | 13986 |
| 102 and 190 | 9690 |