Least Common Multiple (LCM) of 142 and 147
The least common multiple (LCM) of 142 and 147 is 20874.
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 147?
First, calculate the GCD of 142 and 147 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 147 = 0 remainder 142 |
| 2 | 147 ÷ 142 = 1 remainder 5 |
| 3 | 142 ÷ 5 = 28 remainder 2 |
| 4 | 5 ÷ 2 = 2 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 27 | 4644 |
| 32 and 82 | 1312 |
| 119 and 163 | 19397 |
| 67 and 55 | 3685 |
| 32 and 18 | 288 |