Least Common Multiple (LCM) of 23 and 130
The least common multiple (LCM) of 23 and 130 is 2990.
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 23 and 130?
First, calculate the GCD of 23 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 23 ÷ 130 = 0 remainder 23 |
| 2 | 130 ÷ 23 = 5 remainder 15 |
| 3 | 23 ÷ 15 = 1 remainder 8 |
| 4 | 15 ÷ 8 = 1 remainder 7 |
| 5 | 8 ÷ 7 = 1 remainder 1 |
| 6 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 102 | 9078 |
| 125 and 127 | 15875 |
| 144 and 179 | 25776 |
| 95 and 133 | 665 |
| 66 and 101 | 6666 |