Least Common Multiple (LCM) of 180 and 44
The least common multiple (LCM) of 180 and 44 is 1980.
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 180 and 44?
First, calculate the GCD of 180 and 44 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 180 ÷ 44 = 4 remainder 4 |
| 2 | 44 ÷ 4 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 109 and 101 | 11009 |
| 188 and 35 | 6580 |
| 42 and 94 | 1974 |
| 27 and 168 | 1512 |
| 148 and 91 | 13468 |