Least Common Multiple (LCM) of 185 and 36
The least common multiple (LCM) of 185 and 36 is 6660.
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 36?
First, calculate the GCD of 185 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 36 = 5 remainder 5 |
| 2 | 36 ÷ 5 = 7 remainder 1 |
| 3 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 172 | 24252 |
| 144 and 11 | 1584 |
| 17 and 20 | 340 |
| 157 and 166 | 26062 |
| 103 and 155 | 15965 |