Least Common Multiple (LCM) of 56 and 112
The least common multiple (LCM) of 56 and 112 is 112.
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 112?
First, calculate the GCD of 56 and 112 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 112 = 0 remainder 56 |
| 2 | 112 ÷ 56 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 176 and 153 | 26928 |
| 125 and 125 | 125 |
| 101 and 56 | 5656 |
| 187 and 194 | 36278 |
| 137 and 75 | 10275 |