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 |
|---|---|
| 40 and 88 | 440 |
| 45 and 88 | 3960 |
| 119 and 21 | 357 |
| 162 and 169 | 27378 |
| 58 and 104 | 3016 |