Least Common Multiple (LCM) of 174 and 95
The least common multiple (LCM) of 174 and 95 is 16530.
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 95?
First, calculate the GCD of 174 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 95 = 1 remainder 79 |
| 2 | 95 ÷ 79 = 1 remainder 16 |
| 3 | 79 ÷ 16 = 4 remainder 15 |
| 4 | 16 ÷ 15 = 1 remainder 1 |
| 5 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 60 and 51 | 1020 |
| 101 and 165 | 16665 |
| 80 and 54 | 2160 |
| 200 and 33 | 6600 |
| 69 and 67 | 4623 |