Least Common Multiple (LCM) of 170 and 48
The least common multiple (LCM) of 170 and 48 is 4080.
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 48?
First, calculate the GCD of 170 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 48 = 3 remainder 26 |
| 2 | 48 ÷ 26 = 1 remainder 22 |
| 3 | 26 ÷ 22 = 1 remainder 4 |
| 4 | 22 ÷ 4 = 5 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 107 and 177 | 18939 |
| 139 and 118 | 16402 |
| 12 and 47 | 564 |
| 120 and 97 | 11640 |
| 76 and 156 | 2964 |