Least Common Multiple (LCM) of 184 and 166
The least common multiple (LCM) of 184 and 166 is 15272.
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 166?
First, calculate the GCD of 184 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 166 = 1 remainder 18 |
| 2 | 166 ÷ 18 = 9 remainder 4 |
| 3 | 18 ÷ 4 = 4 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 86 | 6364 |
| 157 and 79 | 12403 |
| 192 and 175 | 33600 |
| 156 and 114 | 2964 |
| 134 and 113 | 15142 |