
Least Common Multiple (LCM) of 183 and 171
The least common multiple (LCM) of 183 and 171 is 10431.
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 183 and 171?
First, calculate the GCD of 183 and 171 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 183 ÷ 171 = 1 remainder 12 |
2 | 171 ÷ 12 = 14 remainder 3 |
3 | 12 ÷ 3 = 4 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
69 and 15 | 345 |
149 and 182 | 27118 |
191 and 84 | 16044 |
81 and 101 | 8181 |
186 and 56 | 5208 |