Least Common Multiple (LCM) of 174 and 160
The least common multiple (LCM) of 174 and 160 is 13920.
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 174 and 160?
First, calculate the GCD of 174 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 160 = 1 remainder 14 |
| 2 | 160 ÷ 14 = 11 remainder 6 |
| 3 | 14 ÷ 6 = 2 remainder 2 |
| 4 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 126 | 2142 |
| 15 and 191 | 2865 |
| 83 and 103 | 8549 |
| 16 and 117 | 1872 |
| 171 and 123 | 7011 |