Least Common Multiple (LCM) of 188 and 89
The least common multiple (LCM) of 188 and 89 is 16732.
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 188 and 89?
First, calculate the GCD of 188 and 89 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 89 = 2 remainder 10 |
| 2 | 89 ÷ 10 = 8 remainder 9 |
| 3 | 10 ÷ 9 = 1 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 32 and 110 | 1760 |
| 157 and 13 | 2041 |
| 136 and 193 | 26248 |
| 188 and 174 | 16356 |
| 117 and 112 | 13104 |