Least Common Multiple (LCM) of 142 and 43
The least common multiple (LCM) of 142 and 43 is 6106.
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 43?
First, calculate the GCD of 142 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 43 = 3 remainder 13 |
| 2 | 43 ÷ 13 = 3 remainder 4 |
| 3 | 13 ÷ 4 = 3 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 196 | 17444 |
| 140 and 79 | 11060 |
| 30 and 194 | 2910 |
| 34 and 114 | 1938 |
| 107 and 66 | 7062 |