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 |
|---|---|
| 57 and 49 | 2793 |
| 149 and 112 | 16688 |
| 200 and 115 | 4600 |
| 132 and 117 | 5148 |
| 153 and 40 | 6120 |