Least Common Multiple (LCM) of 142 and 133
The least common multiple (LCM) of 142 and 133 is 18886.
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 133?
First, calculate the GCD of 142 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 133 = 1 remainder 9 |
| 2 | 133 ÷ 9 = 14 remainder 7 |
| 3 | 9 ÷ 7 = 1 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 44 | 7524 |
| 79 and 165 | 13035 |
| 84 and 180 | 1260 |
| 86 and 164 | 7052 |
| 90 and 18 | 90 |