
Least Common Multiple (LCM) of 92 and 189
The least common multiple (LCM) of 92 and 189 is 17388.
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 92 and 189?
First, calculate the GCD of 92 and 189 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 92 ÷ 189 = 0 remainder 92 |
2 | 189 ÷ 92 = 2 remainder 5 |
3 | 92 ÷ 5 = 18 remainder 2 |
4 | 5 ÷ 2 = 2 remainder 1 |
5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
47 and 114 | 5358 |
36 and 164 | 1476 |
168 and 156 | 2184 |
33 and 38 | 1254 |
135 and 125 | 3375 |