Least Common Multiple (LCM) of 174 and 104
The least common multiple (LCM) of 174 and 104 is 9048.
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 104?
First, calculate the GCD of 174 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 104 = 1 remainder 70 |
| 2 | 104 ÷ 70 = 1 remainder 34 |
| 3 | 70 ÷ 34 = 2 remainder 2 |
| 4 | 34 ÷ 2 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 138 | 2346 |
| 190 and 37 | 7030 |
| 120 and 179 | 21480 |
| 171 and 107 | 18297 |
| 160 and 105 | 3360 |