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 |
|---|---|
| 38 and 40 | 760 |
| 27 and 44 | 1188 |
| 178 and 152 | 13528 |
| 61 and 50 | 3050 |
| 62 and 134 | 4154 |