Least Common Multiple (LCM) of 174 and 85
The least common multiple (LCM) of 174 and 85 is 14790.
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 85?
First, calculate the GCD of 174 and 85 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 85 = 2 remainder 4 |
| 2 | 85 ÷ 4 = 21 remainder 1 |
| 3 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 89 | 11837 |
| 65 and 131 | 8515 |
| 87 and 59 | 5133 |
| 118 and 97 | 11446 |
| 24 and 88 | 264 |