Least Common Multiple (LCM) of 66 and 121
The least common multiple (LCM) of 66 and 121 is 726.
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 66 and 121?
First, calculate the GCD of 66 and 121 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 66 ÷ 121 = 0 remainder 66 |
| 2 | 121 ÷ 66 = 1 remainder 55 |
| 3 | 66 ÷ 55 = 1 remainder 11 |
| 4 | 55 ÷ 11 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 10 | 970 |
| 168 and 34 | 2856 |
| 140 and 26 | 1820 |
| 31 and 115 | 3565 |
| 104 and 151 | 15704 |