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 |
|---|---|
| 117 and 170 | 19890 |
| 42 and 13 | 546 |
| 63 and 93 | 1953 |
| 128 and 198 | 12672 |
| 61 and 119 | 7259 |