Least Common Multiple (LCM) of 149 and 175
The least common multiple (LCM) of 149 and 175 is 26075.
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 149 and 175?
First, calculate the GCD of 149 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 175 = 0 remainder 149 |
| 2 | 175 ÷ 149 = 1 remainder 26 |
| 3 | 149 ÷ 26 = 5 remainder 19 |
| 4 | 26 ÷ 19 = 1 remainder 7 |
| 5 | 19 ÷ 7 = 2 remainder 5 |
| 6 | 7 ÷ 5 = 1 remainder 2 |
| 7 | 5 ÷ 2 = 2 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 90 and 83 | 7470 |
| 42 and 142 | 2982 |
| 177 and 190 | 33630 |
| 11 and 151 | 1661 |
| 190 and 178 | 16910 |