Least Common Multiple (LCM) of 189 and 93
The least common multiple (LCM) of 189 and 93 is 5859.
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 93?
First, calculate the GCD of 189 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 189 ÷ 93 = 2 remainder 3 |
| 2 | 93 ÷ 3 = 31 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 151 | 18875 |
| 62 and 168 | 5208 |
| 64 and 67 | 4288 |
| 36 and 150 | 900 |
| 103 and 94 | 9682 |