Least Common Multiple (LCM) of 113 and 88
The least common multiple (LCM) of 113 and 88 is 9944.
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 113 and 88?
First, calculate the GCD of 113 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 113 ÷ 88 = 1 remainder 25 |
| 2 | 88 ÷ 25 = 3 remainder 13 |
| 3 | 25 ÷ 13 = 1 remainder 12 |
| 4 | 13 ÷ 12 = 1 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 136 | 17544 |
| 80 and 88 | 880 |
| 200 and 28 | 1400 |
| 188 and 194 | 18236 |
| 159 and 127 | 20193 |