
Least Common Multiple (LCM) of 66 and 16
The least common multiple (LCM) of 66 and 16 is 528.
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 66 and 16?
First, calculate the GCD of 66 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 66 ÷ 16 = 4 remainder 2 |
2 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
90 and 39 | 1170 |
195 and 48 | 3120 |
159 and 75 | 3975 |
188 and 39 | 7332 |
148 and 126 | 9324 |