Least Common Multiple (LCM) of 184 and 164
The least common multiple (LCM) of 184 and 164 is 7544.
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 164?
First, calculate the GCD of 184 and 164 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 184 ÷ 164 = 1 remainder 20 |
| 2 | 164 ÷ 20 = 8 remainder 4 |
| 3 | 20 ÷ 4 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 157 and 59 | 9263 |
| 102 and 31 | 3162 |
| 165 and 83 | 13695 |
| 113 and 79 | 8927 |
| 141 and 171 | 8037 |