Least Common Multiple (LCM) of 63 and 95
The least common multiple (LCM) of 63 and 95 is 5985.
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 95?
First, calculate the GCD of 63 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 95 = 0 remainder 63 |
| 2 | 95 ÷ 63 = 1 remainder 32 |
| 3 | 63 ÷ 32 = 1 remainder 31 |
| 4 | 32 ÷ 31 = 1 remainder 1 |
| 5 | 31 ÷ 1 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 129 | 13416 |
| 119 and 74 | 8806 |
| 195 and 150 | 1950 |
| 154 and 142 | 10934 |
| 74 and 10 | 370 |