Least Common Multiple (LCM) of 187 and 28
The least common multiple (LCM) of 187 and 28 is 5236.
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 28?
First, calculate the GCD of 187 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 28 = 6 remainder 19 |
| 2 | 28 ÷ 19 = 1 remainder 9 |
| 3 | 19 ÷ 9 = 2 remainder 1 |
| 4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 155 and 104 | 16120 |
| 185 and 81 | 14985 |
| 70 and 153 | 10710 |
| 149 and 39 | 5811 |
| 186 and 98 | 9114 |