Least Common Multiple (LCM) of 150 and 2
The least common multiple (LCM) of 150 and 2 is 150.
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 2?
First, calculate the GCD of 150 and 2 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 2 = 75 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 50 | 8450 |
| 21 and 179 | 3759 |
| 182 and 39 | 546 |
| 179 and 150 | 26850 |
| 173 and 126 | 21798 |