Least Common Multiple (LCM) of 56 and 88
The least common multiple (LCM) of 56 and 88 is 616.
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 88?
First, calculate the GCD of 56 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 56 ÷ 88 = 0 remainder 56 |
| 2 | 88 ÷ 56 = 1 remainder 32 |
| 3 | 56 ÷ 32 = 1 remainder 24 |
| 4 | 32 ÷ 24 = 1 remainder 8 |
| 5 | 24 ÷ 8 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 105 | 735 |
| 124 and 20 | 620 |
| 142 and 93 | 13206 |
| 110 and 17 | 1870 |
| 11 and 103 | 1133 |