
Least Common Multiple (LCM) of 85 and 82
The least common multiple (LCM) of 85 and 82 is 6970.
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 85 and 82?
First, calculate the GCD of 85 and 82 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 85 ÷ 82 = 1 remainder 3 |
2 | 82 ÷ 3 = 27 remainder 1 |
3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
186 and 49 | 9114 |
149 and 142 | 21158 |
169 and 86 | 14534 |
96 and 199 | 19104 |
81 and 51 | 1377 |