
Least Common Multiple (LCM) of 38 and 173
The least common multiple (LCM) of 38 and 173 is 6574.
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 38 and 173?
First, calculate the GCD of 38 and 173 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 38 ÷ 173 = 0 remainder 38 |
2 | 173 ÷ 38 = 4 remainder 21 |
3 | 38 ÷ 21 = 1 remainder 17 |
4 | 21 ÷ 17 = 1 remainder 4 |
5 | 17 ÷ 4 = 4 remainder 1 |
6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
111 and 155 | 17205 |
179 and 98 | 17542 |
186 and 136 | 12648 |
74 and 166 | 6142 |
72 and 79 | 5688 |