Least Common Multiple (LCM) of 187 and 154
The least common multiple (LCM) of 187 and 154 is 2618.
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 187 and 154?
First, calculate the GCD of 187 and 154 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 154 = 1 remainder 33 |
| 2 | 154 ÷ 33 = 4 remainder 22 |
| 3 | 33 ÷ 22 = 1 remainder 11 |
| 4 | 22 ÷ 11 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 10 and 81 | 810 |
| 131 and 165 | 21615 |
| 153 and 110 | 16830 |
| 107 and 157 | 16799 |
| 82 and 108 | 4428 |