Least Common Multiple (LCM) of 102 and 68
The least common multiple (LCM) of 102 and 68 is 204.
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 68?
First, calculate the GCD of 102 and 68 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 68 = 1 remainder 34 |
| 2 | 68 ÷ 34 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 159 | 30369 |
| 187 and 87 | 16269 |
| 102 and 63 | 2142 |
| 186 and 22 | 2046 |
| 77 and 115 | 8855 |