Least Common Multiple (LCM) of 177 and 141
The least common multiple (LCM) of 177 and 141 is 8319.
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 141?
First, calculate the GCD of 177 and 141 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 177 ÷ 141 = 1 remainder 36 |
| 2 | 141 ÷ 36 = 3 remainder 33 |
| 3 | 36 ÷ 33 = 1 remainder 3 |
| 4 | 33 ÷ 3 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 103 | 10506 |
| 200 and 86 | 8600 |
| 149 and 120 | 17880 |
| 11 and 175 | 1925 |
| 77 and 18 | 1386 |