Least Common Multiple (LCM) of 86 and 187
The least common multiple (LCM) of 86 and 187 is 16082.
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 86 and 187?
First, calculate the GCD of 86 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 187 = 0 remainder 86 |
| 2 | 187 ÷ 86 = 2 remainder 15 |
| 3 | 86 ÷ 15 = 5 remainder 11 |
| 4 | 15 ÷ 11 = 1 remainder 4 |
| 5 | 11 ÷ 4 = 2 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 141 | 21009 |
| 173 and 119 | 20587 |
| 102 and 24 | 408 |
| 36 and 35 | 1260 |
| 150 and 110 | 1650 |