Least Common Multiple (LCM) of 64 and 92
The least common multiple (LCM) of 64 and 92 is 1472.
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 92?
First, calculate the GCD of 64 and 92 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 92 = 0 remainder 64 |
| 2 | 92 ÷ 64 = 1 remainder 28 |
| 3 | 64 ÷ 28 = 2 remainder 8 |
| 4 | 28 ÷ 8 = 3 remainder 4 |
| 5 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 200 | 16200 |
| 155 and 149 | 23095 |
| 179 and 179 | 179 |
| 153 and 34 | 306 |
| 47 and 74 | 3478 |