Least Common Multiple (LCM) of 188 and 154
The least common multiple (LCM) of 188 and 154 is 14476.
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 154?
First, calculate the GCD of 188 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 188 ÷ 154 = 1 remainder 34 |
| 2 | 154 ÷ 34 = 4 remainder 18 |
| 3 | 34 ÷ 18 = 1 remainder 16 |
| 4 | 18 ÷ 16 = 1 remainder 2 |
| 5 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 136 and 56 | 952 |
| 104 and 126 | 6552 |
| 174 and 166 | 14442 |
| 146 and 15 | 2190 |
| 194 and 86 | 8342 |