Least Common Multiple (LCM) of 56 and 38
The least common multiple (LCM) of 56 and 38 is 1064.
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 38?
First, calculate the GCD of 56 and 38 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 38 = 1 remainder 18 |
| 2 | 38 ÷ 18 = 2 remainder 2 |
| 3 | 18 ÷ 2 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 199 and 39 | 7761 |
| 178 and 30 | 2670 |
| 153 and 143 | 21879 |
| 11 and 187 | 187 |
| 18 and 15 | 90 |