Least Common Multiple (LCM) of 64 and 143
The least common multiple (LCM) of 64 and 143 is 9152.
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 143?
First, calculate the GCD of 64 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 64 ÷ 143 = 0 remainder 64 |
| 2 | 143 ÷ 64 = 2 remainder 15 |
| 3 | 64 ÷ 15 = 4 remainder 4 |
| 4 | 15 ÷ 4 = 3 remainder 3 |
| 5 | 4 ÷ 3 = 1 remainder 1 |
| 6 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 133 | 1995 |
| 182 and 31 | 5642 |
| 104 and 58 | 3016 |
| 130 and 137 | 17810 |
| 133 and 173 | 23009 |