Least Common Multiple (LCM) of 130 and 114
The least common multiple (LCM) of 130 and 114 is 7410.
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 114?
First, calculate the GCD of 130 and 114 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 114 = 1 remainder 16 |
| 2 | 114 ÷ 16 = 7 remainder 2 |
| 3 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 104 | 11544 |
| 49 and 102 | 4998 |
| 121 and 193 | 23353 |
| 54 and 118 | 3186 |
| 104 and 68 | 1768 |