Least Common Multiple (LCM) of 91 and 134
The least common multiple (LCM) of 91 and 134 is 12194.
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 134?
First, calculate the GCD of 91 and 134 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 134 = 0 remainder 91 |
| 2 | 134 ÷ 91 = 1 remainder 43 |
| 3 | 91 ÷ 43 = 2 remainder 5 |
| 4 | 43 ÷ 5 = 8 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 30 and 119 | 3570 |
| 69 and 142 | 9798 |
| 65 and 118 | 7670 |
| 150 and 92 | 6900 |
| 109 and 110 | 11990 |