Least Common Multiple (LCM) of 130 and 91
The least common multiple (LCM) of 130 and 91 is 910.
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 91?
First, calculate the GCD of 130 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 130 ÷ 91 = 1 remainder 39 |
| 2 | 91 ÷ 39 = 2 remainder 13 |
| 3 | 39 ÷ 13 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 37 | 444 |
| 20 and 142 | 1420 |
| 99 and 94 | 9306 |
| 148 and 144 | 5328 |
| 164 and 193 | 31652 |