Least Common Multiple (LCM) of 130 and 123
The least common multiple (LCM) of 130 and 123 is 15990.
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 123?
First, calculate the GCD of 130 and 123 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 123 = 1 remainder 7 |
| 2 | 123 ÷ 7 = 17 remainder 4 |
| 3 | 7 ÷ 4 = 1 remainder 3 |
| 4 | 4 ÷ 3 = 1 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 63 and 195 | 4095 |
| 147 and 38 | 5586 |
| 137 and 51 | 6987 |
| 168 and 82 | 6888 |
| 60 and 100 | 300 |