Least Common Multiple (LCM) of 187 and 21
The least common multiple (LCM) of 187 and 21 is 3927.
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 21?
First, calculate the GCD of 187 and 21 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 21 = 8 remainder 19 |
| 2 | 21 ÷ 19 = 1 remainder 2 |
| 3 | 19 ÷ 2 = 9 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 42 and 113 | 4746 |
| 41 and 73 | 2993 |
| 92 and 130 | 5980 |
| 116 and 163 | 18908 |
| 61 and 90 | 5490 |