Least Common Multiple (LCM) of 130 and 95
The least common multiple (LCM) of 130 and 95 is 2470.
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 95?
First, calculate the GCD of 130 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 95 = 1 remainder 35 |
| 2 | 95 ÷ 35 = 2 remainder 25 |
| 3 | 35 ÷ 25 = 1 remainder 10 |
| 4 | 25 ÷ 10 = 2 remainder 5 |
| 5 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 194 | 27354 |
| 187 and 140 | 26180 |
| 142 and 169 | 23998 |
| 143 and 154 | 2002 |
| 153 and 135 | 2295 |