Least Common Multiple (LCM) of 94 and 150
The least common multiple (LCM) of 94 and 150 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 94 and 150?
First, calculate the GCD of 94 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 150 = 0 remainder 94 |
| 2 | 150 ÷ 94 = 1 remainder 56 |
| 3 | 94 ÷ 56 = 1 remainder 38 |
| 4 | 56 ÷ 38 = 1 remainder 18 |
| 5 | 38 ÷ 18 = 2 remainder 2 |
| 6 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 45 | 1125 |
| 198 and 121 | 2178 |
| 198 and 132 | 396 |
| 197 and 94 | 18518 |
| 77 and 106 | 8162 |