Least Common Multiple (LCM) of 16 and 44
The least common multiple (LCM) of 16 and 44 is 176.
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 16 and 44?
First, calculate the GCD of 16 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 44 = 0 remainder 16 |
| 2 | 44 ÷ 16 = 2 remainder 12 |
| 3 | 16 ÷ 12 = 1 remainder 4 |
| 4 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 79 | 12245 |
| 194 and 166 | 16102 |
| 108 and 170 | 9180 |
| 111 and 86 | 9546 |
| 176 and 80 | 880 |