Least Common Multiple (LCM) of 166 and 153
The least common multiple (LCM) of 166 and 153 is 25398.
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 153?
First, calculate the GCD of 166 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 166 ÷ 153 = 1 remainder 13 |
| 2 | 153 ÷ 13 = 11 remainder 10 |
| 3 | 13 ÷ 10 = 1 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 162 and 153 | 2754 |
| 57 and 10 | 570 |
| 172 and 168 | 7224 |
| 135 and 47 | 6345 |
| 102 and 134 | 6834 |