Least Common Multiple (LCM) of 147 and 142
The least common multiple (LCM) of 147 and 142 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 147 and 142?
First, calculate the GCD of 147 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 142 = 1 remainder 5 |
| 2 | 142 ÷ 5 = 28 remainder 2 |
| 3 | 5 ÷ 2 = 2 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 107 | 20544 |
| 107 and 138 | 14766 |
| 160 and 27 | 4320 |
| 157 and 149 | 23393 |
| 13 and 123 | 1599 |