Least Common Multiple (LCM) of 63 and 145
The least common multiple (LCM) of 63 and 145 is 9135.
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 145?
First, calculate the GCD of 63 and 145 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 145 = 0 remainder 63 |
| 2 | 145 ÷ 63 = 2 remainder 19 |
| 3 | 63 ÷ 19 = 3 remainder 6 |
| 4 | 19 ÷ 6 = 3 remainder 1 |
| 5 | 6 ÷ 1 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 91 | 12558 |
| 117 and 140 | 16380 |
| 84 and 36 | 252 |
| 136 and 140 | 4760 |
| 181 and 110 | 19910 |