Least Common Multiple (LCM) of 147 and 129
The least common multiple (LCM) of 147 and 129 is 6321.
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 129?
First, calculate the GCD of 147 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 147 ÷ 129 = 1 remainder 18 |
| 2 | 129 ÷ 18 = 7 remainder 3 |
| 3 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 60 | 480 |
| 110 and 55 | 110 |
| 33 and 25 | 825 |
| 110 and 142 | 7810 |
| 170 and 77 | 13090 |