Least Common Multiple (LCM) of 63 and 69
The least common multiple (LCM) of 63 and 69 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 69?
First, calculate the GCD of 63 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 69 = 0 remainder 63 |
| 2 | 69 ÷ 63 = 1 remainder 6 |
| 3 | 63 ÷ 6 = 10 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 64 | 1984 |
| 13 and 24 | 312 |
| 161 and 92 | 644 |
| 196 and 187 | 36652 |
| 181 and 161 | 29141 |