Least Common Multiple (LCM) of 170 and 51
The least common multiple (LCM) of 170 and 51 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 51?
First, calculate the GCD of 170 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 51 = 3 remainder 17 |
| 2 | 51 ÷ 17 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 127 | 5715 |
| 126 and 181 | 22806 |
| 180 and 198 | 1980 |
| 34 and 42 | 714 |
| 50 and 96 | 2400 |