Least Common Multiple (LCM) of 187 and 44
The least common multiple (LCM) of 187 and 44 is 748.
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 44?
First, calculate the GCD of 187 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 187 ÷ 44 = 4 remainder 11 |
| 2 | 44 ÷ 11 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 144 and 190 | 13680 |
| 114 and 135 | 5130 |
| 190 and 88 | 8360 |
| 145 and 57 | 8265 |
| 131 and 160 | 20960 |