Least Common Multiple (LCM) of 52 and 182
The least common multiple (LCM) of 52 and 182 is 364.
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 52 and 182?
First, calculate the GCD of 52 and 182 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 182 = 0 remainder 52 |
| 2 | 182 ÷ 52 = 3 remainder 26 |
| 3 | 52 ÷ 26 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 168 | 840 |
| 75 and 190 | 2850 |
| 144 and 129 | 6192 |
| 183 and 65 | 11895 |
| 137 and 40 | 5480 |