Least Common Multiple (LCM) of 64 and 94
The least common multiple (LCM) of 64 and 94 is 3008.
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 94?
First, calculate the GCD of 64 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 94 = 0 remainder 64 |
| 2 | 94 ÷ 64 = 1 remainder 30 |
| 3 | 64 ÷ 30 = 2 remainder 4 |
| 4 | 30 ÷ 4 = 7 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 178 | 28658 |
| 174 and 104 | 9048 |
| 122 and 180 | 10980 |
| 194 and 162 | 15714 |
| 87 and 182 | 15834 |