Least Common Multiple (LCM) of 64 and 190
The least common multiple (LCM) of 64 and 190 is 6080.
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 190?
First, calculate the GCD of 64 and 190 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 190 = 0 remainder 64 |
| 2 | 190 ÷ 64 = 2 remainder 62 |
| 3 | 64 ÷ 62 = 1 remainder 2 |
| 4 | 62 ÷ 2 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 178 and 67 | 11926 |
| 30 and 132 | 660 |
| 55 and 80 | 880 |
| 109 and 19 | 2071 |
| 186 and 14 | 1302 |