Least Common Multiple (LCM) of 129 and 97
The least common multiple (LCM) of 129 and 97 is 12513.
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 97?
First, calculate the GCD of 129 and 97 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 97 = 1 remainder 32 |
| 2 | 97 ÷ 32 = 3 remainder 1 |
| 3 | 32 ÷ 1 = 32 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 81 | 11745 |
| 35 and 164 | 5740 |
| 143 and 178 | 25454 |
| 95 and 21 | 1995 |
| 98 and 75 | 7350 |