Least Common Multiple (LCM) of 185 and 150
The least common multiple (LCM) of 185 and 150 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 185 and 150?
First, calculate the GCD of 185 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 150 = 1 remainder 35 |
| 2 | 150 ÷ 35 = 4 remainder 10 |
| 3 | 35 ÷ 10 = 3 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 15 | 2685 |
| 161 and 14 | 322 |
| 76 and 130 | 4940 |
| 70 and 12 | 420 |
| 186 and 95 | 17670 |