
Least Common Multiple (LCM) of 44 and 17
The least common multiple (LCM) of 44 and 17 is 748.
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 44 and 17?
First, calculate the GCD of 44 and 17 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 44 ÷ 17 = 2 remainder 10 |
2 | 17 ÷ 10 = 1 remainder 7 |
3 | 10 ÷ 7 = 1 remainder 3 |
4 | 7 ÷ 3 = 2 remainder 1 |
5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
47 and 43 | 2021 |
143 and 135 | 19305 |
184 and 179 | 32936 |
77 and 74 | 5698 |
88 and 31 | 2728 |