Least Common Multiple (LCM) of 102 and 153
The least common multiple (LCM) of 102 and 153 is 306.
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 102 and 153?
First, calculate the GCD of 102 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 153 = 0 remainder 102 |
| 2 | 153 ÷ 102 = 1 remainder 51 |
| 3 | 102 ÷ 51 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 168 | 8904 |
| 188 and 184 | 8648 |
| 129 and 172 | 516 |
| 179 and 158 | 28282 |
| 128 and 104 | 1664 |