Least Common Multiple (LCM) of 142 and 20
The least common multiple (LCM) of 142 and 20 is 1420.
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 20?
First, calculate the GCD of 142 and 20 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 20 = 7 remainder 2 |
| 2 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 35 | 6160 |
| 35 and 122 | 4270 |
| 33 and 185 | 6105 |
| 88 and 75 | 6600 |
| 199 and 158 | 31442 |