Least Common Multiple (LCM) of 102 and 34
The least common multiple (LCM) of 102 and 34 is 102.
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 34?
First, calculate the GCD of 102 and 34 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 34 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 11 | 1969 |
| 72 and 76 | 1368 |
| 143 and 128 | 18304 |
| 79 and 24 | 1896 |
| 187 and 169 | 31603 |