Least Common Multiple (LCM) of 129 and 119
The least common multiple (LCM) of 129 and 119 is 15351.
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 119?
First, calculate the GCD of 129 and 119 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 119 = 1 remainder 10 |
| 2 | 119 ÷ 10 = 11 remainder 9 |
| 3 | 10 ÷ 9 = 1 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 44 | 220 |
| 197 and 176 | 34672 |
| 157 and 36 | 5652 |
| 78 and 143 | 858 |
| 53 and 120 | 6360 |