Least Common Multiple (LCM) of 130 and 22
The least common multiple (LCM) of 130 and 22 is 1430.
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 22?
First, calculate the GCD of 130 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 22 = 5 remainder 20 |
| 2 | 22 ÷ 20 = 1 remainder 2 |
| 3 | 20 ÷ 2 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 111 | 13875 |
| 72 and 103 | 7416 |
| 119 and 50 | 5950 |
| 109 and 20 | 2180 |
| 107 and 115 | 12305 |