Least Common Multiple (LCM) of 62 and 185
The least common multiple (LCM) of 62 and 185 is 11470.
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 62 and 185?
First, calculate the GCD of 62 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 185 = 0 remainder 62 |
| 2 | 185 ÷ 62 = 2 remainder 61 |
| 3 | 62 ÷ 61 = 1 remainder 1 |
| 4 | 61 ÷ 1 = 61 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 141 | 5781 |
| 196 and 74 | 7252 |
| 113 and 120 | 13560 |
| 159 and 123 | 6519 |
| 93 and 75 | 2325 |