Least Common Multiple (LCM) of 91 and 122
The least common multiple (LCM) of 91 and 122 is 11102.
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 122?
First, calculate the GCD of 91 and 122 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 91 ÷ 122 = 0 remainder 91 |
| 2 | 122 ÷ 91 = 1 remainder 31 |
| 3 | 91 ÷ 31 = 2 remainder 29 |
| 4 | 31 ÷ 29 = 1 remainder 2 |
| 5 | 29 ÷ 2 = 14 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 183 | 32757 |
| 141 and 178 | 25098 |
| 131 and 132 | 17292 |
| 74 and 32 | 1184 |
| 116 and 80 | 2320 |