Least Common Multiple (LCM) of 142 and 85
The least common multiple (LCM) of 142 and 85 is 12070.
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 85?
First, calculate the GCD of 142 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 85 = 1 remainder 57 |
| 2 | 85 ÷ 57 = 1 remainder 28 |
| 3 | 57 ÷ 28 = 2 remainder 1 |
| 4 | 28 ÷ 1 = 28 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 20 | 620 |
| 185 and 182 | 33670 |
| 103 and 66 | 6798 |
| 30 and 69 | 690 |
| 101 and 94 | 9494 |