Least Common Multiple (LCM) of 102 and 88
The least common multiple (LCM) of 102 and 88 is 4488.
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 102 and 88?
First, calculate the GCD of 102 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 102 ÷ 88 = 1 remainder 14 |
| 2 | 88 ÷ 14 = 6 remainder 4 |
| 3 | 14 ÷ 4 = 3 remainder 2 |
| 4 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 126 and 141 | 5922 |
| 183 and 93 | 5673 |
| 41 and 192 | 7872 |
| 173 and 98 | 16954 |
| 38 and 28 | 532 |