Least Common Multiple (LCM) of 176 and 66
The least common multiple (LCM) of 176 and 66 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 176 and 66?
First, calculate the GCD of 176 and 66 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 66 = 2 remainder 44 |
| 2 | 66 ÷ 44 = 1 remainder 22 |
| 3 | 44 ÷ 22 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 134 and 47 | 6298 |
| 103 and 174 | 17922 |
| 86 and 119 | 10234 |
| 113 and 101 | 11413 |
| 15 and 161 | 2415 |