Least Common Multiple (LCM) of 185 and 127
The least common multiple (LCM) of 185 and 127 is 23495.
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 185 and 127?
First, calculate the GCD of 185 and 127 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 185 ÷ 127 = 1 remainder 58 |
| 2 | 127 ÷ 58 = 2 remainder 11 |
| 3 | 58 ÷ 11 = 5 remainder 3 |
| 4 | 11 ÷ 3 = 3 remainder 2 |
| 5 | 3 ÷ 2 = 1 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 133 and 35 | 665 |
| 145 and 107 | 15515 |
| 155 and 195 | 6045 |
| 198 and 129 | 8514 |
| 116 and 164 | 4756 |