Least Common Multiple (LCM) of 80 and 185
The least common multiple (LCM) of 80 and 185 is 2960.
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 80 and 185?
First, calculate the GCD of 80 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 185 = 0 remainder 80 |
| 2 | 185 ÷ 80 = 2 remainder 25 |
| 3 | 80 ÷ 25 = 3 remainder 5 |
| 4 | 25 ÷ 5 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 196 and 123 | 24108 |
| 28 and 39 | 1092 |
| 57 and 103 | 5871 |
| 125 and 95 | 2375 |
| 143 and 148 | 21164 |