Least Common Multiple (LCM) of 130 and 72
The least common multiple (LCM) of 130 and 72 is 4680.
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 72?
First, calculate the GCD of 130 and 72 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 72 = 1 remainder 58 |
| 2 | 72 ÷ 58 = 1 remainder 14 |
| 3 | 58 ÷ 14 = 4 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 105 | 420 |
| 179 and 80 | 14320 |
| 119 and 10 | 1190 |
| 111 and 159 | 5883 |
| 116 and 29 | 116 |