
Least Common Multiple (LCM) of 82 and 130
The least common multiple (LCM) of 82 and 130 is 5330.
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 82 and 130?
First, calculate the GCD of 82 and 130 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 82 ÷ 130 = 0 remainder 82 |
2 | 130 ÷ 82 = 1 remainder 48 |
3 | 82 ÷ 48 = 1 remainder 34 |
4 | 48 ÷ 34 = 1 remainder 14 |
5 | 34 ÷ 14 = 2 remainder 6 |
6 | 14 ÷ 6 = 2 remainder 2 |
7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
25 and 200 | 200 |
174 and 47 | 8178 |
99 and 36 | 396 |
14 and 118 | 826 |
48 and 141 | 2256 |