Least Common Multiple (LCM) of 56 and 54
The least common multiple (LCM) of 56 and 54 is 1512.
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 54?
First, calculate the GCD of 56 and 54 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 54 = 1 remainder 2 |
| 2 | 54 ÷ 2 = 27 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 82 and 106 | 4346 |
| 152 and 185 | 28120 |
| 156 and 52 | 156 |
| 103 and 162 | 16686 |
| 138 and 64 | 4416 |