Least Common Multiple (LCM) of 150 and 185
The least common multiple (LCM) of 150 and 185 is 5550.
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 150 and 185?
First, calculate the GCD of 150 and 185 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 185 = 0 remainder 150 |
| 2 | 185 ÷ 150 = 1 remainder 35 |
| 3 | 150 ÷ 35 = 4 remainder 10 |
| 4 | 35 ÷ 10 = 3 remainder 5 |
| 5 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 72 | 8280 |
| 156 and 61 | 9516 |
| 61 and 143 | 8723 |
| 135 and 54 | 270 |
| 37 and 29 | 1073 |