Least Common Multiple (LCM) of 56 and 132
The least common multiple (LCM) of 56 and 132 is 1848.
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 132?
First, calculate the GCD of 56 and 132 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 132 = 0 remainder 56 |
| 2 | 132 ÷ 56 = 2 remainder 20 |
| 3 | 56 ÷ 20 = 2 remainder 16 |
| 4 | 20 ÷ 16 = 1 remainder 4 |
| 5 | 16 ÷ 4 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 142 and 158 | 11218 |
| 46 and 138 | 138 |
| 149 and 66 | 9834 |
| 195 and 43 | 8385 |
| 25 and 92 | 2300 |