Least Common Multiple (LCM) of 91 and 65
The least common multiple (LCM) of 91 and 65 is 455.
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 65?
First, calculate the GCD of 91 and 65 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 65 = 1 remainder 26 |
| 2 | 65 ÷ 26 = 2 remainder 13 |
| 3 | 26 ÷ 13 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 158 | 10270 |
| 199 and 61 | 12139 |
| 150 and 33 | 1650 |
| 86 and 93 | 7998 |
| 182 and 79 | 14378 |