Least Common Multiple (LCM) of 132 and 142
The least common multiple (LCM) of 132 and 142 is 9372.
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 132 and 142?
First, calculate the GCD of 132 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 132 ÷ 142 = 0 remainder 132 |
| 2 | 142 ÷ 132 = 1 remainder 10 |
| 3 | 132 ÷ 10 = 13 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 113 | 14012 |
| 190 and 172 | 16340 |
| 200 and 80 | 400 |
| 147 and 138 | 6762 |
| 168 and 63 | 504 |