
Least Common Multiple (LCM) of 47 and 189
The least common multiple (LCM) of 47 and 189 is 8883.
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 47 and 189?
First, calculate the GCD of 47 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 47 ÷ 189 = 0 remainder 47 |
2 | 189 ÷ 47 = 4 remainder 1 |
3 | 47 ÷ 1 = 47 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
75 and 95 | 1425 |
189 and 192 | 12096 |
100 and 83 | 8300 |
19 and 164 | 3116 |
48 and 191 | 9168 |