Least Common Multiple (LCM) of 189 and 95
The least common multiple (LCM) of 189 and 95 is 17955.
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 189 and 95?
First, calculate the GCD of 189 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 95 = 1 remainder 94 |
| 2 | 95 ÷ 94 = 1 remainder 1 |
| 3 | 94 ÷ 1 = 94 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 76 | 3876 |
| 49 and 76 | 3724 |
| 112 and 179 | 20048 |
| 122 and 19 | 2318 |
| 70 and 100 | 700 |