Least Common Multiple (LCM) of 177 and 30
The least common multiple (LCM) of 177 and 30 is 1770.
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 30?
First, calculate the GCD of 177 and 30 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 30 = 5 remainder 27 |
| 2 | 30 ÷ 27 = 1 remainder 3 |
| 3 | 27 ÷ 3 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 41 | 5904 |
| 113 and 57 | 6441 |
| 72 and 17 | 1224 |
| 153 and 70 | 10710 |
| 194 and 149 | 28906 |