Least Common Multiple (LCM) of 63 and 73
The least common multiple (LCM) of 63 and 73 is 4599.
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 73?
First, calculate the GCD of 63 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 73 = 0 remainder 63 |
| 2 | 73 ÷ 63 = 1 remainder 10 |
| 3 | 63 ÷ 10 = 6 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 47 | 7849 |
| 114 and 157 | 17898 |
| 170 and 92 | 7820 |
| 37 and 65 | 2405 |
| 180 and 193 | 34740 |