Least Common Multiple (LCM) of 90 and 184
The least common multiple (LCM) of 90 and 184 is 8280.
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 90 and 184?
First, calculate the GCD of 90 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 90 ÷ 184 = 0 remainder 90 |
| 2 | 184 ÷ 90 = 2 remainder 4 |
| 3 | 90 ÷ 4 = 22 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 84 and 134 | 5628 |
| 109 and 139 | 15151 |
| 55 and 161 | 8855 |
| 157 and 32 | 5024 |
| 199 and 187 | 37213 |