Least Common Multiple (LCM) of 88 and 103
The least common multiple (LCM) of 88 and 103 is 9064.
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 88 and 103?
First, calculate the GCD of 88 and 103 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 88 ÷ 103 = 0 remainder 88 |
| 2 | 103 ÷ 88 = 1 remainder 15 |
| 3 | 88 ÷ 15 = 5 remainder 13 |
| 4 | 15 ÷ 13 = 1 remainder 2 |
| 5 | 13 ÷ 2 = 6 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 129 and 91 | 11739 |
| 160 and 194 | 15520 |
| 86 and 43 | 86 |
| 200 and 23 | 4600 |
| 93 and 96 | 2976 |