Least Common Multiple (LCM) of 187 and 91
The least common multiple (LCM) of 187 and 91 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 187 and 91?
First, calculate the GCD of 187 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 91 = 2 remainder 5 |
| 2 | 91 ÷ 5 = 18 remainder 1 |
| 3 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 146 and 124 | 9052 |
| 37 and 186 | 6882 |
| 31 and 72 | 2232 |
| 147 and 172 | 25284 |
| 35 and 60 | 420 |