Least Common Multiple (LCM) of 174 and 44
The least common multiple (LCM) of 174 and 44 is 3828.
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 44?
First, calculate the GCD of 174 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 44 = 3 remainder 42 |
| 2 | 44 ÷ 42 = 1 remainder 2 |
| 3 | 42 ÷ 2 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 149 | 2086 |
| 193 and 54 | 10422 |
| 146 and 68 | 4964 |
| 126 and 50 | 3150 |
| 76 and 133 | 532 |