Least Common Multiple (LCM) of 108 and 102
The least common multiple (LCM) of 108 and 102 is 1836.
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 108 and 102?
First, calculate the GCD of 108 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 108 ÷ 102 = 1 remainder 6 |
| 2 | 102 ÷ 6 = 17 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 182 and 158 | 14378 |
| 19 and 197 | 3743 |
| 80 and 149 | 11920 |
| 144 and 18 | 144 |
| 18 and 79 | 1422 |