Least Common Multiple (LCM) of 142 and 22
The least common multiple (LCM) of 142 and 22 is 1562.
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 22?
First, calculate the GCD of 142 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 22 = 6 remainder 10 |
| 2 | 22 ÷ 10 = 2 remainder 2 |
| 3 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 164 | 3444 |
| 199 and 117 | 23283 |
| 110 and 71 | 7810 |
| 55 and 71 | 3905 |
| 153 and 99 | 1683 |