Least Common Multiple (LCM) of 47 and 91
The least common multiple (LCM) of 47 and 91 is 4277.
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 91?
First, calculate the GCD of 47 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 47 ÷ 91 = 0 remainder 47 |
| 2 | 91 ÷ 47 = 1 remainder 44 |
| 3 | 47 ÷ 44 = 1 remainder 3 |
| 4 | 44 ÷ 3 = 14 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 115 | 2070 |
| 37 and 59 | 2183 |
| 117 and 102 | 3978 |
| 156 and 26 | 156 |
| 61 and 98 | 5978 |