Least Common Multiple (LCM) of 47 and 95
The least common multiple (LCM) of 47 and 95 is 4465.
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 47 and 95?
First, calculate the GCD of 47 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 47 ÷ 95 = 0 remainder 47 |
| 2 | 95 ÷ 47 = 2 remainder 1 |
| 3 | 47 ÷ 1 = 47 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 100 | 3600 |
| 157 and 126 | 19782 |
| 104 and 19 | 1976 |
| 98 and 89 | 8722 |
| 188 and 160 | 7520 |