Least Common Multiple (LCM) of 175 and 62
The least common multiple (LCM) of 175 and 62 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 175 and 62?
First, calculate the GCD of 175 and 62 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 175 ÷ 62 = 2 remainder 51 |
| 2 | 62 ÷ 51 = 1 remainder 11 |
| 3 | 51 ÷ 11 = 4 remainder 7 |
| 4 | 11 ÷ 7 = 1 remainder 4 |
| 5 | 7 ÷ 4 = 1 remainder 3 |
| 6 | 4 ÷ 3 = 1 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 185 | 21090 |
| 113 and 178 | 20114 |
| 115 and 29 | 3335 |
| 166 and 20 | 1660 |
| 89 and 51 | 4539 |