
Least Common Multiple (LCM) of 168 and 44
The least common multiple (LCM) of 168 and 44 is 1848.
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 168 and 44?
First, calculate the GCD of 168 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 168 ÷ 44 = 3 remainder 36 |
2 | 44 ÷ 36 = 1 remainder 8 |
3 | 36 ÷ 8 = 4 remainder 4 |
4 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
184 and 189 | 34776 |
105 and 84 | 420 |
105 and 141 | 4935 |
32 and 130 | 2080 |
121 and 38 | 4598 |