Least Common Multiple (LCM) of 101 and 88
The least common multiple (LCM) of 101 and 88 is 8888.
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 101 and 88?
First, calculate the GCD of 101 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 101 ÷ 88 = 1 remainder 13 |
| 2 | 88 ÷ 13 = 6 remainder 10 |
| 3 | 13 ÷ 10 = 1 remainder 3 |
| 4 | 10 ÷ 3 = 3 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 102 and 15 | 510 |
| 184 and 130 | 11960 |
| 133 and 138 | 18354 |
| 132 and 42 | 924 |
| 28 and 178 | 2492 |