Least Common Multiple (LCM) of 36 and 110
The least common multiple (LCM) of 36 and 110 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 36 and 110?
First, calculate the GCD of 36 and 110 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 36 ÷ 110 = 0 remainder 36 |
| 2 | 110 ÷ 36 = 3 remainder 2 |
| 3 | 36 ÷ 2 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 117 and 144 | 1872 |
| 13 and 37 | 481 |
| 180 and 33 | 1980 |
| 185 and 157 | 29045 |
| 166 and 172 | 14276 |