Least Common Multiple (LCM) of 117 and 91
The least common multiple (LCM) of 117 and 91 is 819.
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 117 and 91?
First, calculate the GCD of 117 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 117 ÷ 91 = 1 remainder 26 |
| 2 | 91 ÷ 26 = 3 remainder 13 |
| 3 | 26 ÷ 13 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 200 | 33400 |
| 13 and 22 | 286 |
| 40 and 81 | 3240 |
| 14 and 62 | 434 |
| 95 and 49 | 4655 |