Least Common Multiple (LCM) of 52 and 185
The least common multiple (LCM) of 52 and 185 is 9620.
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 185?
First, calculate the GCD of 52 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 52 ÷ 185 = 0 remainder 52 |
| 2 | 185 ÷ 52 = 3 remainder 29 |
| 3 | 52 ÷ 29 = 1 remainder 23 |
| 4 | 29 ÷ 23 = 1 remainder 6 |
| 5 | 23 ÷ 6 = 3 remainder 5 |
| 6 | 6 ÷ 5 = 1 remainder 1 |
| 7 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 68 and 40 | 680 |
| 187 and 41 | 7667 |
| 113 and 120 | 13560 |
| 31 and 79 | 2449 |
| 165 and 44 | 660 |