Least Common Multiple (LCM) of 63 and 23
The least common multiple (LCM) of 63 and 23 is 1449.
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 23?
First, calculate the GCD of 63 and 23 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 23 = 2 remainder 17 |
| 2 | 23 ÷ 17 = 1 remainder 6 |
| 3 | 17 ÷ 6 = 2 remainder 5 |
| 4 | 6 ÷ 5 = 1 remainder 1 |
| 5 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 138 | 9246 |
| 86 and 43 | 86 |
| 119 and 52 | 6188 |
| 117 and 165 | 6435 |
| 62 and 177 | 10974 |