Least Common Multiple (LCM) of 62 and 175
The least common multiple (LCM) of 62 and 175 is 10850.
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 62 and 175?
First, calculate the GCD of 62 and 175 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 62 ÷ 175 = 0 remainder 62 |
| 2 | 175 ÷ 62 = 2 remainder 51 |
| 3 | 62 ÷ 51 = 1 remainder 11 |
| 4 | 51 ÷ 11 = 4 remainder 7 |
| 5 | 11 ÷ 7 = 1 remainder 4 |
| 6 | 7 ÷ 4 = 1 remainder 3 |
| 7 | 4 ÷ 3 = 1 remainder 1 |
| 8 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 161 and 123 | 19803 |
| 177 and 145 | 25665 |
| 109 and 75 | 8175 |
| 74 and 61 | 4514 |
| 172 and 113 | 19436 |