Least Common Multiple (LCM) of 64 and 185
The least common multiple (LCM) of 64 and 185 is 11840.
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 185?
First, calculate the GCD of 64 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 185 = 0 remainder 64 |
| 2 | 185 ÷ 64 = 2 remainder 57 |
| 3 | 64 ÷ 57 = 1 remainder 7 |
| 4 | 57 ÷ 7 = 8 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 113 | 12204 |
| 80 and 164 | 3280 |
| 158 and 170 | 13430 |
| 199 and 121 | 24079 |
| 106 and 79 | 8374 |