Least Common Multiple (LCM) of 175 and 160
The least common multiple (LCM) of 175 and 160 is 5600.
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 175 and 160?
First, calculate the GCD of 175 and 160 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 160 = 1 remainder 15 |
| 2 | 160 ÷ 15 = 10 remainder 10 |
| 3 | 15 ÷ 10 = 1 remainder 5 |
| 4 | 10 ÷ 5 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 22 and 38 | 418 |
| 151 and 36 | 5436 |
| 108 and 53 | 5724 |
| 196 and 96 | 4704 |
| 160 and 28 | 1120 |