Least Common Multiple (LCM) of 86 and 174
The least common multiple (LCM) of 86 and 174 is 7482.
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 174?
First, calculate the GCD of 86 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 86 ÷ 174 = 0 remainder 86 |
| 2 | 174 ÷ 86 = 2 remainder 2 |
| 3 | 86 ÷ 2 = 43 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 100 and 54 | 2700 |
| 143 and 41 | 5863 |
| 108 and 155 | 16740 |
| 200 and 143 | 28600 |
| 112 and 131 | 14672 |