Least Common Multiple (LCM) of 142 and 170
The least common multiple (LCM) of 142 and 170 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 170?
First, calculate the GCD of 142 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 170 = 0 remainder 142 |
| 2 | 170 ÷ 142 = 1 remainder 28 |
| 3 | 142 ÷ 28 = 5 remainder 2 |
| 4 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 78 | 9438 |
| 120 and 57 | 2280 |
| 84 and 14 | 84 |
| 49 and 72 | 3528 |
| 75 and 113 | 8475 |