Least Common Multiple (LCM) of 187 and 56
The least common multiple (LCM) of 187 and 56 is 10472.
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 56?
First, calculate the GCD of 187 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 56 = 3 remainder 19 |
| 2 | 56 ÷ 19 = 2 remainder 18 |
| 3 | 19 ÷ 18 = 1 remainder 1 |
| 4 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 45 and 42 | 630 |
| 117 and 29 | 3393 |
| 57 and 53 | 3021 |
| 163 and 116 | 18908 |
| 43 and 150 | 6450 |