Least Common Multiple (LCM) of 91 and 187
The least common multiple (LCM) of 91 and 187 is 17017.
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 187?
First, calculate the GCD of 91 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 187 = 0 remainder 91 |
| 2 | 187 ÷ 91 = 2 remainder 5 |
| 3 | 91 ÷ 5 = 18 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 161 | 9177 |
| 197 and 40 | 7880 |
| 101 and 65 | 6565 |
| 108 and 30 | 540 |
| 180 and 26 | 2340 |