Least Common Multiple (LCM) of 121 and 66
The least common multiple (LCM) of 121 and 66 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 121 and 66?
First, calculate the GCD of 121 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 66 = 1 remainder 55 |
| 2 | 66 ÷ 55 = 1 remainder 11 |
| 3 | 55 ÷ 11 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 26 | 2834 |
| 41 and 172 | 7052 |
| 166 and 31 | 5146 |
| 139 and 121 | 16819 |
| 36 and 189 | 756 |