Least Common Multiple (LCM) of 141 and 142
The least common multiple (LCM) of 141 and 142 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 141 and 142?
First, calculate the GCD of 141 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 142 = 0 remainder 141 |
| 2 | 142 ÷ 141 = 1 remainder 1 |
| 3 | 141 ÷ 1 = 141 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 32 | 736 |
| 102 and 77 | 7854 |
| 172 and 180 | 7740 |
| 87 and 199 | 17313 |
| 73 and 163 | 11899 |