Least Common Multiple (LCM) of 63 and 142
The least common multiple (LCM) of 63 and 142 is 8946.
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 142?
First, calculate the GCD of 63 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 142 = 0 remainder 63 |
| 2 | 142 ÷ 63 = 2 remainder 16 |
| 3 | 63 ÷ 16 = 3 remainder 15 |
| 4 | 16 ÷ 15 = 1 remainder 1 |
| 5 | 15 ÷ 1 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 33 | 4884 |
| 71 and 176 | 12496 |
| 133 and 154 | 2926 |
| 16 and 72 | 144 |
| 104 and 94 | 4888 |