
Least Common Multiple (LCM) of 110 and 165
The least common multiple (LCM) of 110 and 165 is 330.
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 110 and 165?
First, calculate the GCD of 110 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 110 ÷ 165 = 0 remainder 110 |
2 | 165 ÷ 110 = 1 remainder 55 |
3 | 110 ÷ 55 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
107 and 82 | 8774 |
104 and 189 | 19656 |
13 and 80 | 1040 |
101 and 139 | 14039 |
46 and 108 | 2484 |