Least Common Multiple (LCM) of 91 and 173
The least common multiple (LCM) of 91 and 173 is 15743.
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 91 and 173?
First, calculate the GCD of 91 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 173 = 0 remainder 91 |
| 2 | 173 ÷ 91 = 1 remainder 82 |
| 3 | 91 ÷ 82 = 1 remainder 9 |
| 4 | 82 ÷ 9 = 9 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 16 | 560 |
| 167 and 90 | 15030 |
| 137 and 155 | 21235 |
| 103 and 171 | 17613 |
| 118 and 108 | 6372 |