Least Common Multiple (LCM) of 174 and 146
The least common multiple (LCM) of 174 and 146 is 12702.
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 146?
First, calculate the GCD of 174 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 146 = 1 remainder 28 |
| 2 | 146 ÷ 28 = 5 remainder 6 |
| 3 | 28 ÷ 6 = 4 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 18 | 1962 |
| 132 and 108 | 1188 |
| 87 and 180 | 5220 |
| 54 and 82 | 2214 |
| 97 and 52 | 5044 |