Least Common Multiple (LCM) of 188 and 87
The least common multiple (LCM) of 188 and 87 is 16356.
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 87?
First, calculate the GCD of 188 and 87 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 87 = 2 remainder 14 |
| 2 | 87 ÷ 14 = 6 remainder 3 |
| 3 | 14 ÷ 3 = 4 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 174 and 165 | 9570 |
| 161 and 126 | 2898 |
| 111 and 75 | 2775 |
| 108 and 39 | 1404 |
| 110 and 47 | 5170 |