Least Common Multiple (LCM) of 80 and 64
The least common multiple (LCM) of 80 and 64 is 320.
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 64?
First, calculate the GCD of 80 and 64 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 80 ÷ 64 = 1 remainder 16 |
| 2 | 64 ÷ 16 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 142 | 16614 |
| 129 and 20 | 2580 |
| 15 and 43 | 645 |
| 85 and 106 | 9010 |
| 172 and 137 | 23564 |