Least Common Multiple (LCM) of 118 and 130
The least common multiple (LCM) of 118 and 130 is 7670.
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 118 and 130?
First, calculate the GCD of 118 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 118 ÷ 130 = 0 remainder 118 |
| 2 | 130 ÷ 118 = 1 remainder 12 |
| 3 | 118 ÷ 12 = 9 remainder 10 |
| 4 | 12 ÷ 10 = 1 remainder 2 |
| 5 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 119 | 7973 |
| 158 and 48 | 3792 |
| 25 and 48 | 1200 |
| 138 and 103 | 14214 |
| 122 and 40 | 2440 |