Least Common Multiple (LCM) of 63 and 47
The least common multiple (LCM) of 63 and 47 is 2961.
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 63 and 47?
First, calculate the GCD of 63 and 47 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 47 = 1 remainder 16 |
| 2 | 47 ÷ 16 = 2 remainder 15 |
| 3 | 16 ÷ 15 = 1 remainder 1 |
| 4 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 33 and 149 | 4917 |
| 135 and 39 | 1755 |
| 15 and 182 | 2730 |
| 83 and 105 | 8715 |
| 109 and 102 | 11118 |