Least Common Multiple (LCM) of 64 and 93
The least common multiple (LCM) of 64 and 93 is 5952.
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 64 and 93?
First, calculate the GCD of 64 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 93 = 0 remainder 64 |
| 2 | 93 ÷ 64 = 1 remainder 29 |
| 3 | 64 ÷ 29 = 2 remainder 6 |
| 4 | 29 ÷ 6 = 4 remainder 5 |
| 5 | 6 ÷ 5 = 1 remainder 1 |
| 6 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 152 and 171 | 1368 |
| 125 and 60 | 1500 |
| 108 and 27 | 108 |
| 104 and 172 | 4472 |
| 196 and 67 | 13132 |