
Least Common Multiple (LCM) of 129 and 100
The least common multiple (LCM) of 129 and 100 is 12900.
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 100?
First, calculate the GCD of 129 and 100 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 129 ÷ 100 = 1 remainder 29 |
2 | 100 ÷ 29 = 3 remainder 13 |
3 | 29 ÷ 13 = 2 remainder 3 |
4 | 13 ÷ 3 = 4 remainder 1 |
5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
89 and 183 | 16287 |
134 and 106 | 7102 |
75 and 127 | 9525 |
166 and 141 | 23406 |
92 and 23 | 92 |