Least Common Multiple (LCM) of 187 and 26
The least common multiple (LCM) of 187 and 26 is 4862.
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 26?
First, calculate the GCD of 187 and 26 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 26 = 7 remainder 5 |
| 2 | 26 ÷ 5 = 5 remainder 1 |
| 3 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 141 and 130 | 18330 |
| 150 and 95 | 2850 |
| 112 and 68 | 1904 |
| 171 and 121 | 20691 |
| 138 and 105 | 4830 |