
Least Common Multiple (LCM) of 18 and 93
The least common multiple (LCM) of 18 and 93 is 558.
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 18 and 93?
First, calculate the GCD of 18 and 93 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 18 ÷ 93 = 0 remainder 18 |
2 | 93 ÷ 18 = 5 remainder 3 |
3 | 18 ÷ 3 = 6 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
120 and 97 | 11640 |
172 and 160 | 6880 |
199 and 191 | 38009 |
185 and 102 | 18870 |
154 and 67 | 10318 |