Least Common Multiple (LCM) of 95 and 174
The least common multiple (LCM) of 95 and 174 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 95 and 174?
First, calculate the GCD of 95 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 174 = 0 remainder 95 |
| 2 | 174 ÷ 95 = 1 remainder 79 |
| 3 | 95 ÷ 79 = 1 remainder 16 |
| 4 | 79 ÷ 16 = 4 remainder 15 |
| 5 | 16 ÷ 15 = 1 remainder 1 |
| 6 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 84 | 3444 |
| 25 and 61 | 1525 |
| 80 and 118 | 4720 |
| 77 and 154 | 154 |
| 12 and 75 | 300 |