Least Common Multiple (LCM) of 170 and 102
The least common multiple (LCM) of 170 and 102 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 170 and 102?
First, calculate the GCD of 170 and 102 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 102 = 1 remainder 68 |
| 2 | 102 ÷ 68 = 1 remainder 34 |
| 3 | 68 ÷ 34 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 130 | 6630 |
| 160 and 199 | 31840 |
| 47 and 89 | 4183 |
| 103 and 166 | 17098 |
| 85 and 73 | 6205 |