Least Common Multiple (LCM) of 166 and 184
The least common multiple (LCM) of 166 and 184 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 166 and 184?
First, calculate the GCD of 166 and 184 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 184 = 0 remainder 166 |
| 2 | 184 ÷ 166 = 1 remainder 18 |
| 3 | 166 ÷ 18 = 9 remainder 4 |
| 4 | 18 ÷ 4 = 4 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 101 and 152 | 15352 |
| 19 and 166 | 3154 |
| 79 and 99 | 7821 |
| 46 and 109 | 5014 |
| 114 and 150 | 2850 |