Least Common Multiple (LCM) of 121 and 91
The least common multiple (LCM) of 121 and 91 is 11011.
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 121 and 91?
First, calculate the GCD of 121 and 91 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 91 = 1 remainder 30 |
| 2 | 91 ÷ 30 = 3 remainder 1 |
| 3 | 30 ÷ 1 = 30 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 32 | 992 |
| 108 and 97 | 10476 |
| 179 and 106 | 18974 |
| 37 and 190 | 7030 |
| 170 and 19 | 3230 |