Least Common Multiple (LCM) of 175 and 127
The least common multiple (LCM) of 175 and 127 is 22225.
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 127?
First, calculate the GCD of 175 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 127 = 1 remainder 48 |
| 2 | 127 ÷ 48 = 2 remainder 31 |
| 3 | 48 ÷ 31 = 1 remainder 17 |
| 4 | 31 ÷ 17 = 1 remainder 14 |
| 5 | 17 ÷ 14 = 1 remainder 3 |
| 6 | 14 ÷ 3 = 4 remainder 2 |
| 7 | 3 ÷ 2 = 1 remainder 1 |
| 8 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 145 and 88 | 12760 |
| 28 and 64 | 448 |
| 68 and 36 | 612 |
| 138 and 181 | 24978 |
| 115 and 70 | 1610 |