Least Common Multiple (LCM) of 168 and 63
The least common multiple (LCM) of 168 and 63 is 504.
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 168 and 63?
First, calculate the GCD of 168 and 63 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 168 ÷ 63 = 2 remainder 42 |
| 2 | 63 ÷ 42 = 1 remainder 21 |
| 3 | 42 ÷ 21 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 95 | 13490 |
| 109 and 107 | 11663 |
| 150 and 194 | 14550 |
| 37 and 195 | 7215 |
| 59 and 171 | 10089 |