Least Common Multiple (LCM) of 174 and 75
The least common multiple (LCM) of 174 and 75 is 4350.
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 75?
First, calculate the GCD of 174 and 75 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 75 = 2 remainder 24 |
| 2 | 75 ÷ 24 = 3 remainder 3 |
| 3 | 24 ÷ 3 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 29 | 2581 |
| 20 and 88 | 440 |
| 197 and 87 | 17139 |
| 161 and 58 | 9338 |
| 181 and 15 | 2715 |