Least Common Multiple (LCM) of 129 and 90
The least common multiple (LCM) of 129 and 90 is 3870.
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 90?
First, calculate the GCD of 129 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 129 ÷ 90 = 1 remainder 39 |
| 2 | 90 ÷ 39 = 2 remainder 12 |
| 3 | 39 ÷ 12 = 3 remainder 3 |
| 4 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 18 | 126 |
| 196 and 190 | 18620 |
| 120 and 178 | 10680 |
| 13 and 154 | 2002 |
| 143 and 85 | 12155 |