Least Common Multiple (LCM) of 63 and 94
The least common multiple (LCM) of 63 and 94 is 5922.
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 94?
First, calculate the GCD of 63 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 94 = 0 remainder 63 |
| 2 | 94 ÷ 63 = 1 remainder 31 |
| 3 | 63 ÷ 31 = 2 remainder 1 |
| 4 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 111 and 169 | 18759 |
| 165 and 157 | 25905 |
| 20 and 153 | 3060 |
| 32 and 36 | 288 |
| 127 and 189 | 24003 |