Least Common Multiple (LCM) of 166 and 102
The least common multiple (LCM) of 166 and 102 is 8466.
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 102?
First, calculate the GCD of 166 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 102 = 1 remainder 64 |
| 2 | 102 ÷ 64 = 1 remainder 38 |
| 3 | 64 ÷ 38 = 1 remainder 26 |
| 4 | 38 ÷ 26 = 1 remainder 12 |
| 5 | 26 ÷ 12 = 2 remainder 2 |
| 6 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 52 and 11 | 572 |
| 76 and 103 | 7828 |
| 71 and 111 | 7881 |
| 129 and 72 | 3096 |
| 35 and 17 | 595 |