
Least Common Multiple (LCM) of 18 and 155
The least common multiple (LCM) of 18 and 155 is 2790.
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 155?
First, calculate the GCD of 18 and 155 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 18 ÷ 155 = 0 remainder 18 |
2 | 155 ÷ 18 = 8 remainder 11 |
3 | 18 ÷ 11 = 1 remainder 7 |
4 | 11 ÷ 7 = 1 remainder 4 |
5 | 7 ÷ 4 = 1 remainder 3 |
6 | 4 ÷ 3 = 1 remainder 1 |
7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
72 and 118 | 4248 |
103 and 148 | 15244 |
27 and 24 | 216 |
188 and 38 | 3572 |
105 and 140 | 420 |