Least Common Multiple (LCM) of 160 and 174
The least common multiple (LCM) of 160 and 174 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 160 and 174?
First, calculate the GCD of 160 and 174 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 160 ÷ 174 = 0 remainder 160 |
| 2 | 174 ÷ 160 = 1 remainder 14 |
| 3 | 160 ÷ 14 = 11 remainder 6 |
| 4 | 14 ÷ 6 = 2 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 124 | 5580 |
| 154 and 56 | 616 |
| 72 and 20 | 360 |
| 53 and 142 | 7526 |
| 73 and 200 | 14600 |