Least Common Multiple (LCM) of 121 and 44
The least common multiple (LCM) of 121 and 44 is 484.
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 44?
First, calculate the GCD of 121 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 121 ÷ 44 = 2 remainder 33 |
| 2 | 44 ÷ 33 = 1 remainder 11 |
| 3 | 33 ÷ 11 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 110 and 157 | 17270 |
| 19 and 175 | 3325 |
| 10 and 136 | 680 |
| 189 and 150 | 9450 |
| 119 and 132 | 15708 |