Least Common Multiple (LCM) of 91 and 68
The least common multiple (LCM) of 91 and 68 is 6188.
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 68?
First, calculate the GCD of 91 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 68 = 1 remainder 23 |
| 2 | 68 ÷ 23 = 2 remainder 22 |
| 3 | 23 ÷ 22 = 1 remainder 1 |
| 4 | 22 ÷ 1 = 22 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 167 and 19 | 3173 |
| 124 and 123 | 15252 |
| 146 and 169 | 24674 |
| 10 and 89 | 890 |
| 178 and 188 | 16732 |