Least Common Multiple (LCM) of 174 and 86
The least common multiple (LCM) of 174 and 86 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 174 and 86?
First, calculate the GCD of 174 and 86 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 86 = 2 remainder 2 |
| 2 | 86 ÷ 2 = 43 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 149 | 23542 |
| 81 and 57 | 1539 |
| 165 and 43 | 7095 |
| 182 and 74 | 6734 |
| 164 and 170 | 13940 |