Least Common Multiple (LCM) of 109 and 88
The least common multiple (LCM) of 109 and 88 is 9592.
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 109 and 88?
First, calculate the GCD of 109 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 109 ÷ 88 = 1 remainder 21 |
| 2 | 88 ÷ 21 = 4 remainder 4 |
| 3 | 21 ÷ 4 = 5 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 170 and 126 | 10710 |
| 168 and 12 | 168 |
| 67 and 179 | 11993 |
| 170 and 33 | 5610 |
| 67 and 30 | 2010 |