Least Common Multiple (LCM) of 56 and 187
The least common multiple (LCM) of 56 and 187 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 56 and 187?
First, calculate the GCD of 56 and 187 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 187 = 0 remainder 56 |
| 2 | 187 ÷ 56 = 3 remainder 19 |
| 3 | 56 ÷ 19 = 2 remainder 18 |
| 4 | 19 ÷ 18 = 1 remainder 1 |
| 5 | 18 ÷ 1 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 18 | 126 |
| 138 and 185 | 25530 |
| 30 and 55 | 330 |
| 85 and 114 | 9690 |
| 184 and 142 | 13064 |