Least Common Multiple (LCM) of 153 and 129
The least common multiple (LCM) of 153 and 129 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 153 and 129?
First, calculate the GCD of 153 and 129 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 129 = 1 remainder 24 |
| 2 | 129 ÷ 24 = 5 remainder 9 |
| 3 | 24 ÷ 9 = 2 remainder 6 |
| 4 | 9 ÷ 6 = 1 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 74 and 97 | 7178 |
| 157 and 187 | 29359 |
| 112 and 80 | 560 |
| 151 and 112 | 16912 |
| 183 and 102 | 6222 |