Least Common Multiple (LCM) of 186 and 176
The least common multiple (LCM) of 186 and 176 is 16368.
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 186 and 176?
First, calculate the GCD of 186 and 176 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 186 ÷ 176 = 1 remainder 10 |
| 2 | 176 ÷ 10 = 17 remainder 6 |
| 3 | 10 ÷ 6 = 1 remainder 4 |
| 4 | 6 ÷ 4 = 1 remainder 2 |
| 5 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 138 and 65 | 8970 |
| 150 and 17 | 2550 |
| 156 and 73 | 11388 |
| 143 and 82 | 11726 |
| 138 and 140 | 9660 |