Least Common Multiple (LCM) of 63 and 57
The least common multiple (LCM) of 63 and 57 is 1197.
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 57?
First, calculate the GCD of 63 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 57 = 1 remainder 6 |
| 2 | 57 ÷ 6 = 9 remainder 3 |
| 3 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 21 | 42 |
| 164 and 48 | 1968 |
| 170 and 166 | 14110 |
| 116 and 33 | 3828 |
| 37 and 60 | 2220 |