Least Common Multiple (LCM) of 104 and 90
The least common multiple (LCM) of 104 and 90 is 4680.
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 104 and 90?
First, calculate the GCD of 104 and 90 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 104 ÷ 90 = 1 remainder 14 |
| 2 | 90 ÷ 14 = 6 remainder 6 |
| 3 | 14 ÷ 6 = 2 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 172 and 95 | 16340 |
| 60 and 62 | 1860 |
| 90 and 111 | 3330 |
| 11 and 152 | 1672 |
| 106 and 173 | 18338 |