Least Common Multiple (LCM) of 142 and 141
The least common multiple (LCM) of 142 and 141 is 20022.
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 141?
First, calculate the GCD of 142 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 141 = 1 remainder 1 |
| 2 | 141 ÷ 1 = 141 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 63 | 2142 |
| 188 and 158 | 14852 |
| 179 and 161 | 28819 |
| 67 and 151 | 10117 |
| 62 and 42 | 1302 |