
Least Common Multiple (LCM) of 71 and 182
The least common multiple (LCM) of 71 and 182 is 12922.
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 71 and 182?
First, calculate the GCD of 71 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 71 ÷ 182 = 0 remainder 71 |
2 | 182 ÷ 71 = 2 remainder 40 |
3 | 71 ÷ 40 = 1 remainder 31 |
4 | 40 ÷ 31 = 1 remainder 9 |
5 | 31 ÷ 9 = 3 remainder 4 |
6 | 9 ÷ 4 = 2 remainder 1 |
7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
111 and 89 | 9879 |
58 and 20 | 580 |
193 and 190 | 36670 |
196 and 23 | 4508 |
75 and 194 | 14550 |