Least Common Multiple (LCM) of 111 and 56
The least common multiple (LCM) of 111 and 56 is 6216.
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 111 and 56?
First, calculate the GCD of 111 and 56 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 111 ÷ 56 = 1 remainder 55 |
| 2 | 56 ÷ 55 = 1 remainder 1 |
| 3 | 55 ÷ 1 = 55 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 56 and 98 | 392 |
| 108 and 47 | 5076 |
| 12 and 72 | 72 |
| 37 and 68 | 2516 |
| 190 and 166 | 15770 |