Least Common Multiple (LCM) of 185 and 80
The least common multiple (LCM) of 185 and 80 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 185 and 80?
First, calculate the GCD of 185 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 80 = 2 remainder 25 |
| 2 | 80 ÷ 25 = 3 remainder 5 |
| 3 | 25 ÷ 5 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 137 | 14933 |
| 174 and 90 | 2610 |
| 155 and 132 | 20460 |
| 98 and 61 | 5978 |
| 107 and 99 | 10593 |