Least Common Multiple (LCM) of 141 and 175
The least common multiple (LCM) of 141 and 175 is 24675.
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 141 and 175?
First, calculate the GCD of 141 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 175 = 0 remainder 141 |
| 2 | 175 ÷ 141 = 1 remainder 34 |
| 3 | 141 ÷ 34 = 4 remainder 5 |
| 4 | 34 ÷ 5 = 6 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 106 | 1696 |
| 173 and 190 | 32870 |
| 151 and 123 | 18573 |
| 138 and 58 | 4002 |
| 96 and 43 | 4128 |