Least Common Multiple (LCM) of 63 and 175
The least common multiple (LCM) of 63 and 175 is 1575.
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 63 and 175?
First, calculate the GCD of 63 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 63 ÷ 175 = 0 remainder 63 |
| 2 | 175 ÷ 63 = 2 remainder 49 |
| 3 | 63 ÷ 49 = 1 remainder 14 |
| 4 | 49 ÷ 14 = 3 remainder 7 |
| 5 | 14 ÷ 7 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 121 and 164 | 19844 |
| 136 and 35 | 4760 |
| 156 and 127 | 19812 |
| 119 and 67 | 7973 |
| 164 and 46 | 3772 |