Least Common Multiple (LCM) of 177 and 35
The least common multiple (LCM) of 177 and 35 is 6195.
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 177 and 35?
First, calculate the GCD of 177 and 35 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 35 = 5 remainder 2 |
| 2 | 35 ÷ 2 = 17 remainder 1 |
| 3 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 124 and 86 | 5332 |
| 56 and 66 | 1848 |
| 150 and 141 | 7050 |
| 123 and 67 | 8241 |
| 159 and 177 | 9381 |