Least Common Multiple (LCM) of 63 and 134
The least common multiple (LCM) of 63 and 134 is 8442.
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 134?
First, calculate the GCD of 63 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 134 = 0 remainder 63 |
| 2 | 134 ÷ 63 = 2 remainder 8 |
| 3 | 63 ÷ 8 = 7 remainder 7 |
| 4 | 8 ÷ 7 = 1 remainder 1 |
| 5 | 7 ÷ 1 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 47 | 1645 |
| 128 and 16 | 128 |
| 118 and 149 | 17582 |
| 146 and 61 | 8906 |
| 90 and 78 | 1170 |