Least Common Multiple (LCM) of 74 and 80
The least common multiple (LCM) of 74 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 74 and 80?
First, calculate the GCD of 74 and 80 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 80 = 0 remainder 74 |
| 2 | 80 ÷ 74 = 1 remainder 6 |
| 3 | 74 ÷ 6 = 12 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 10 | 90 |
| 169 and 113 | 19097 |
| 181 and 124 | 22444 |
| 189 and 174 | 10962 |
| 190 and 19 | 190 |