
Least Common Multiple (LCM) of 85 and 104
The least common multiple (LCM) of 85 and 104 is 8840.
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 104?
First, calculate the GCD of 85 and 104 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 85 ÷ 104 = 0 remainder 85 |
2 | 104 ÷ 85 = 1 remainder 19 |
3 | 85 ÷ 19 = 4 remainder 9 |
4 | 19 ÷ 9 = 2 remainder 1 |
5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
184 and 129 | 23736 |
10 and 91 | 910 |
92 and 134 | 6164 |
168 and 52 | 2184 |
74 and 118 | 4366 |