
Least Common Multiple (LCM) of 102 and 170
The least common multiple (LCM) of 102 and 170 is 510.
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 170?
First, calculate the GCD of 102 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 102 ÷ 170 = 0 remainder 102 |
2 | 170 ÷ 102 = 1 remainder 68 |
3 | 102 ÷ 68 = 1 remainder 34 |
4 | 68 ÷ 34 = 2 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
135 and 46 | 6210 |
179 and 75 | 13425 |
105 and 105 | 105 |
188 and 109 | 20492 |
163 and 95 | 15485 |