Least Common Multiple (LCM) of 153 and 175
The least common multiple (LCM) of 153 and 175 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 153 and 175?
First, calculate the GCD of 153 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 153 ÷ 175 = 0 remainder 153 |
| 2 | 175 ÷ 153 = 1 remainder 22 |
| 3 | 153 ÷ 22 = 6 remainder 21 |
| 4 | 22 ÷ 21 = 1 remainder 1 |
| 5 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 162 | 20250 |
| 105 and 171 | 5985 |
| 17 and 59 | 1003 |
| 102 and 180 | 3060 |
| 193 and 157 | 30301 |