Least Common Multiple (LCM) of 184 and 156
The least common multiple (LCM) of 184 and 156 is 7176.
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 156?
First, calculate the GCD of 184 and 156 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 156 = 1 remainder 28 |
| 2 | 156 ÷ 28 = 5 remainder 16 |
| 3 | 28 ÷ 16 = 1 remainder 12 |
| 4 | 16 ÷ 12 = 1 remainder 4 |
| 5 | 12 ÷ 4 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 108 and 142 | 7668 |
| 39 and 71 | 2769 |
| 186 and 65 | 12090 |
| 72 and 128 | 1152 |
| 87 and 41 | 3567 |