Least Common Multiple (LCM) of 178 and 184
The least common multiple (LCM) of 178 and 184 is 16376.
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 178 and 184?
First, calculate the GCD of 178 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 178 ÷ 184 = 0 remainder 178 |
| 2 | 184 ÷ 178 = 1 remainder 6 |
| 3 | 178 ÷ 6 = 29 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 51 and 154 | 7854 |
| 52 and 26 | 52 |
| 182 and 130 | 910 |
| 38 and 40 | 760 |
| 113 and 59 | 6667 |