Least Common Multiple (LCM) of 166 and 88
The least common multiple (LCM) of 166 and 88 is 7304.
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 166 and 88?
First, calculate the GCD of 166 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 88 = 1 remainder 78 |
| 2 | 88 ÷ 78 = 1 remainder 10 |
| 3 | 78 ÷ 10 = 7 remainder 8 |
| 4 | 10 ÷ 8 = 1 remainder 2 |
| 5 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 31 and 154 | 4774 |
| 175 and 108 | 18900 |
| 73 and 18 | 1314 |
| 163 and 13 | 2119 |
| 149 and 100 | 14900 |