Least Common Multiple (LCM) of 32 and 170
The least common multiple (LCM) of 32 and 170 is 2720.
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 32 and 170?
First, calculate the GCD of 32 and 170 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 170 = 0 remainder 32 |
| 2 | 170 ÷ 32 = 5 remainder 10 |
| 3 | 32 ÷ 10 = 3 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 184 | 2760 |
| 105 and 168 | 840 |
| 107 and 57 | 6099 |
| 104 and 45 | 4680 |
| 56 and 88 | 616 |