Least Common Multiple (LCM) of 129 and 113
The least common multiple (LCM) of 129 and 113 is 14577.
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 113?
First, calculate the GCD of 129 and 113 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 113 = 1 remainder 16 |
| 2 | 113 ÷ 16 = 7 remainder 1 |
| 3 | 16 ÷ 1 = 16 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 94 and 70 | 3290 |
| 103 and 86 | 8858 |
| 13 and 76 | 988 |
| 101 and 146 | 14746 |
| 194 and 109 | 21146 |