Least Common Multiple (LCM) of 63 and 22
The least common multiple (LCM) of 63 and 22 is 1386.
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 22?
First, calculate the GCD of 63 and 22 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 22 = 2 remainder 19 |
| 2 | 22 ÷ 19 = 1 remainder 3 |
| 3 | 19 ÷ 3 = 6 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 89 and 47 | 4183 |
| 143 and 31 | 4433 |
| 12 and 160 | 480 |
| 149 and 13 | 1937 |
| 149 and 80 | 11920 |