Least Common Multiple (LCM) of 88 and 166
The least common multiple (LCM) of 88 and 166 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 88 and 166?
First, calculate the GCD of 88 and 166 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 166 = 0 remainder 88 |
| 2 | 166 ÷ 88 = 1 remainder 78 |
| 3 | 88 ÷ 78 = 1 remainder 10 |
| 4 | 78 ÷ 10 = 7 remainder 8 |
| 5 | 10 ÷ 8 = 1 remainder 2 |
| 6 | 8 ÷ 2 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 163 and 102 | 16626 |
| 106 and 154 | 8162 |
| 11 and 128 | 1408 |
| 13 and 180 | 2340 |
| 178 and 37 | 6586 |