Least Common Multiple (LCM) of 64 and 51
The least common multiple (LCM) of 64 and 51 is 3264.
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 51?
First, calculate the GCD of 64 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 51 = 1 remainder 13 |
| 2 | 51 ÷ 13 = 3 remainder 12 |
| 3 | 13 ÷ 12 = 1 remainder 1 |
| 4 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 43 | 7697 |
| 105 and 194 | 20370 |
| 135 and 39 | 1755 |
| 77 and 65 | 5005 |
| 133 and 194 | 25802 |