Least Common Multiple (LCM) of 80 and 52
The least common multiple (LCM) of 80 and 52 is 1040.
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 52?
First, calculate the GCD of 80 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 52 = 1 remainder 28 |
| 2 | 52 ÷ 28 = 1 remainder 24 |
| 3 | 28 ÷ 24 = 1 remainder 4 |
| 4 | 24 ÷ 4 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 53 and 125 | 6625 |
| 35 and 102 | 3570 |
| 175 and 147 | 3675 |
| 187 and 148 | 27676 |
| 143 and 110 | 1430 |