Least Common Multiple (LCM) of 180 and 150
The least common multiple (LCM) of 180 and 150 is 900.
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 180 and 150?
First, calculate the GCD of 180 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 150 = 1 remainder 30 |
| 2 | 150 ÷ 30 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 24 and 74 | 888 |
| 183 and 155 | 28365 |
| 12 and 67 | 804 |
| 82 and 100 | 4100 |
| 174 and 72 | 2088 |