Least Common Multiple (LCM) of 129 and 99
The least common multiple (LCM) of 129 and 99 is 4257.
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 99?
First, calculate the GCD of 129 and 99 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 99 = 1 remainder 30 |
| 2 | 99 ÷ 30 = 3 remainder 9 |
| 3 | 30 ÷ 9 = 3 remainder 3 |
| 4 | 9 ÷ 3 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 106 and 70 | 3710 |
| 183 and 75 | 4575 |
| 93 and 31 | 93 |
| 60 and 100 | 300 |
| 62 and 77 | 4774 |