Least Common Multiple (LCM) of 187 and 27
The least common multiple (LCM) of 187 and 27 is 5049.
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 187 and 27?
First, calculate the GCD of 187 and 27 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 27 = 6 remainder 25 |
| 2 | 27 ÷ 25 = 1 remainder 2 |
| 3 | 25 ÷ 2 = 12 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 140 and 83 | 11620 |
| 54 and 115 | 6210 |
| 195 and 127 | 24765 |
| 152 and 39 | 5928 |
| 10 and 118 | 590 |