
Least Common Multiple (LCM) of 168 and 165
The least common multiple (LCM) of 168 and 165 is 9240.
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 168 and 165?
First, calculate the GCD of 168 and 165 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 168 ÷ 165 = 1 remainder 3 |
2 | 165 ÷ 3 = 55 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
113 and 67 | 7571 |
168 and 172 | 7224 |
78 and 157 | 12246 |
98 and 185 | 18130 |
162 and 40 | 3240 |