Least Common Multiple (LCM) of 142 and 135
The least common multiple (LCM) of 142 and 135 is 19170.
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 142 and 135?
First, calculate the GCD of 142 and 135 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 135 = 1 remainder 7 |
| 2 | 135 ÷ 7 = 19 remainder 2 |
| 3 | 7 ÷ 2 = 3 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 150 | 4050 |
| 111 and 15 | 555 |
| 175 and 101 | 17675 |
| 174 and 74 | 6438 |
| 27 and 35 | 945 |