Least Common Multiple (LCM) of 150 and 94
The least common multiple (LCM) of 150 and 94 is 7050.
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 94?
First, calculate the GCD of 150 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 94 = 1 remainder 56 |
| 2 | 94 ÷ 56 = 1 remainder 38 |
| 3 | 56 ÷ 38 = 1 remainder 18 |
| 4 | 38 ÷ 18 = 2 remainder 2 |
| 5 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 81 | 12474 |
| 59 and 60 | 3540 |
| 93 and 188 | 17484 |
| 12 and 149 | 1788 |
| 10 and 132 | 660 |