Least Common Multiple (LCM) of 175 and 153
The least common multiple (LCM) of 175 and 153 is 26775.
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 153?
First, calculate the GCD of 175 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 153 = 1 remainder 22 |
| 2 | 153 ÷ 22 = 6 remainder 21 |
| 3 | 22 ÷ 21 = 1 remainder 1 |
| 4 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 67 and 29 | 1943 |
| 86 and 113 | 9718 |
| 73 and 200 | 14600 |
| 165 and 20 | 660 |
| 197 and 74 | 14578 |