Least Common Multiple (LCM) of 80 and 54
The least common multiple (LCM) of 80 and 54 is 2160.
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 54?
First, calculate the GCD of 80 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 54 = 1 remainder 26 |
| 2 | 54 ÷ 26 = 2 remainder 2 |
| 3 | 26 ÷ 2 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 64 and 70 | 2240 |
| 164 and 118 | 9676 |
| 63 and 35 | 315 |
| 22 and 160 | 1760 |
| 157 and 48 | 7536 |