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 |
|---|---|
| 105 and 121 | 12705 |
| 136 and 25 | 3400 |
| 72 and 65 | 4680 |
| 173 and 155 | 26815 |
| 23 and 121 | 2783 |