Least Common Multiple (LCM) of 94 and 174
The least common multiple (LCM) of 94 and 174 is 8178.
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 94 and 174?
First, calculate the GCD of 94 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 174 = 0 remainder 94 |
| 2 | 174 ÷ 94 = 1 remainder 80 |
| 3 | 94 ÷ 80 = 1 remainder 14 |
| 4 | 80 ÷ 14 = 5 remainder 10 |
| 5 | 14 ÷ 10 = 1 remainder 4 |
| 6 | 10 ÷ 4 = 2 remainder 2 |
| 7 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 21 | 2289 |
| 171 and 152 | 1368 |
| 34 and 49 | 1666 |
| 50 and 80 | 400 |
| 136 and 180 | 6120 |