Least Common Multiple (LCM) of 91 and 130
The least common multiple (LCM) of 91 and 130 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 91 and 130?
First, calculate the GCD of 91 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 130 = 0 remainder 91 |
| 2 | 130 ÷ 91 = 1 remainder 39 |
| 3 | 91 ÷ 39 = 2 remainder 13 |
| 4 | 39 ÷ 13 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 31 | 899 |
| 164 and 86 | 7052 |
| 171 and 87 | 4959 |
| 162 and 16 | 1296 |
| 103 and 27 | 2781 |