Least Common Multiple (LCM) of 130 and 138
The least common multiple (LCM) of 130 and 138 is 8970.
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 130 and 138?
First, calculate the GCD of 130 and 138 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 138 = 0 remainder 130 |
| 2 | 138 ÷ 130 = 1 remainder 8 |
| 3 | 130 ÷ 8 = 16 remainder 2 |
| 4 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 83 | 10209 |
| 94 and 41 | 3854 |
| 93 and 12 | 372 |
| 131 and 171 | 22401 |
| 45 and 36 | 180 |