Least Common Multiple (LCM) of 64 and 96
The least common multiple (LCM) of 64 and 96 is 192.
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 96?
First, calculate the GCD of 64 and 96 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 96 = 0 remainder 64 |
| 2 | 96 ÷ 64 = 1 remainder 32 |
| 3 | 64 ÷ 32 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 87 and 44 | 3828 |
| 175 and 109 | 19075 |
| 166 and 56 | 4648 |
| 69 and 176 | 12144 |
| 82 and 107 | 8774 |