Least Common Multiple (LCM) of 103 and 88
The least common multiple (LCM) of 103 and 88 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 103 and 88?
First, calculate the GCD of 103 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 103 ÷ 88 = 1 remainder 15 |
| 2 | 88 ÷ 15 = 5 remainder 13 |
| 3 | 15 ÷ 13 = 1 remainder 2 |
| 4 | 13 ÷ 2 = 6 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 184 and 95 | 17480 |
| 45 and 145 | 1305 |
| 186 and 49 | 9114 |
| 130 and 163 | 21190 |
| 124 and 113 | 14012 |