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 |
|---|---|
| 70 and 75 | 1050 |
| 92 and 40 | 920 |
| 166 and 173 | 28718 |
| 151 and 20 | 3020 |
| 30 and 88 | 1320 |