Least Common Multiple (LCM) of 129 and 153
The least common multiple (LCM) of 129 and 153 is 6579.
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 129 and 153?
First, calculate the GCD of 129 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 153 = 0 remainder 129 |
| 2 | 153 ÷ 129 = 1 remainder 24 |
| 3 | 129 ÷ 24 = 5 remainder 9 |
| 4 | 24 ÷ 9 = 2 remainder 6 |
| 5 | 9 ÷ 6 = 1 remainder 3 |
| 6 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 140 | 3640 |
| 91 and 152 | 13832 |
| 118 and 148 | 8732 |
| 20 and 88 | 440 |
| 172 and 70 | 6020 |