Least Common Multiple (LCM) of 85 and 187
The least common multiple (LCM) of 85 and 187 is 935.
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 85 and 187?
First, calculate the GCD of 85 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 85 ÷ 187 = 0 remainder 85 |
| 2 | 187 ÷ 85 = 2 remainder 17 |
| 3 | 85 ÷ 17 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 130 and 178 | 11570 |
| 116 and 30 | 1740 |
| 163 and 84 | 13692 |
| 35 and 154 | 770 |
| 15 and 67 | 1005 |