Least Common Multiple (LCM) of 142 and 84
The least common multiple (LCM) of 142 and 84 is 5964.
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 84?
First, calculate the GCD of 142 and 84 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 84 = 1 remainder 58 |
| 2 | 84 ÷ 58 = 1 remainder 26 |
| 3 | 58 ÷ 26 = 2 remainder 6 |
| 4 | 26 ÷ 6 = 4 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 32 | 160 |
| 69 and 18 | 414 |
| 49 and 18 | 882 |
| 79 and 140 | 11060 |
| 34 and 160 | 2720 |