Least Common Multiple (LCM) of 185 and 39
The least common multiple (LCM) of 185 and 39 is 7215.
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 185 and 39?
First, calculate the GCD of 185 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 39 = 4 remainder 29 |
| 2 | 39 ÷ 29 = 1 remainder 10 |
| 3 | 29 ÷ 10 = 2 remainder 9 |
| 4 | 10 ÷ 9 = 1 remainder 1 |
| 5 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 179 | 21659 |
| 140 and 190 | 2660 |
| 152 and 156 | 5928 |
| 114 and 121 | 13794 |
| 131 and 167 | 21877 |