
Least Common Multiple (LCM) of 184 and 146
The least common multiple (LCM) of 184 and 146 is 13432.
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 184 and 146?
First, calculate the GCD of 184 and 146 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 184 ÷ 146 = 1 remainder 38 |
2 | 146 ÷ 38 = 3 remainder 32 |
3 | 38 ÷ 32 = 1 remainder 6 |
4 | 32 ÷ 6 = 5 remainder 2 |
5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
183 and 84 | 5124 |
99 and 12 | 396 |
122 and 35 | 4270 |
173 and 89 | 15397 |
171 and 25 | 4275 |