
Least Common Multiple (LCM) of 116 and 184
The least common multiple (LCM) of 116 and 184 is 5336.
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 116 and 184?
First, calculate the GCD of 116 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 116 ÷ 184 = 0 remainder 116 |
2 | 184 ÷ 116 = 1 remainder 68 |
3 | 116 ÷ 68 = 1 remainder 48 |
4 | 68 ÷ 48 = 1 remainder 20 |
5 | 48 ÷ 20 = 2 remainder 8 |
6 | 20 ÷ 8 = 2 remainder 4 |
7 | 8 ÷ 4 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
65 and 61 | 3965 |
100 and 152 | 3800 |
184 and 144 | 3312 |
37 and 63 | 2331 |
96 and 158 | 7584 |