Least Common Multiple (LCM) of 141 and 135
The least common multiple (LCM) of 141 and 135 is 6345.
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 141 and 135?
First, calculate the GCD of 141 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 135 = 1 remainder 6 |
| 2 | 135 ÷ 6 = 22 remainder 3 |
| 3 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 11 | 1298 |
| 52 and 12 | 156 |
| 90 and 36 | 180 |
| 34 and 38 | 646 |
| 174 and 174 | 174 |