Least Common Multiple (LCM) of 194 and 95
The least common multiple (LCM) of 194 and 95 is 18430.
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 194 and 95?
First, calculate the GCD of 194 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 95 = 2 remainder 4 |
| 2 | 95 ÷ 4 = 23 remainder 3 |
| 3 | 4 ÷ 3 = 1 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 158 and 133 | 21014 |
| 87 and 112 | 9744 |
| 56 and 15 | 840 |
| 175 and 45 | 1575 |
| 104 and 199 | 20696 |