Least Common Multiple (LCM) of 142 and 62
The least common multiple (LCM) of 142 and 62 is 4402.
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 62?
First, calculate the GCD of 142 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 62 = 2 remainder 18 |
| 2 | 62 ÷ 18 = 3 remainder 8 |
| 3 | 18 ÷ 8 = 2 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 40 | 360 |
| 12 and 196 | 588 |
| 41 and 41 | 41 |
| 82 and 14 | 574 |
| 36 and 71 | 2556 |