Least Common Multiple (LCM) of 182 and 52
The least common multiple (LCM) of 182 and 52 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 182 and 52?
First, calculate the GCD of 182 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 52 = 3 remainder 26 |
| 2 | 52 ÷ 26 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 185 and 151 | 27935 |
| 140 and 120 | 840 |
| 161 and 53 | 8533 |
| 185 and 74 | 370 |
| 92 and 135 | 12420 |