
Least Common Multiple (LCM) of 82 and 194
The least common multiple (LCM) of 82 and 194 is 7954.
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 194?
First, calculate the GCD of 82 and 194 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 82 ÷ 194 = 0 remainder 82 |
2 | 194 ÷ 82 = 2 remainder 30 |
3 | 82 ÷ 30 = 2 remainder 22 |
4 | 30 ÷ 22 = 1 remainder 8 |
5 | 22 ÷ 8 = 2 remainder 6 |
6 | 8 ÷ 6 = 1 remainder 2 |
7 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
169 and 147 | 24843 |
113 and 34 | 3842 |
128 and 17 | 2176 |
96 and 116 | 2784 |
160 and 21 | 3360 |