Least Common Multiple (LCM) of 175 and 148
The least common multiple (LCM) of 175 and 148 is 25900.
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 148?
First, calculate the GCD of 175 and 148 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 148 = 1 remainder 27 |
| 2 | 148 ÷ 27 = 5 remainder 13 |
| 3 | 27 ÷ 13 = 2 remainder 1 |
| 4 | 13 ÷ 1 = 13 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 156 and 195 | 780 |
| 119 and 57 | 6783 |
| 32 and 198 | 3168 |
| 133 and 200 | 26600 |
| 149 and 166 | 24734 |