Least Common Multiple (LCM) of 110 and 36
The least common multiple (LCM) of 110 and 36 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 110 and 36?
First, calculate the GCD of 110 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 36 = 3 remainder 2 |
| 2 | 36 ÷ 2 = 18 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 57 and 65 | 3705 |
| 129 and 118 | 15222 |
| 120 and 73 | 8760 |
| 146 and 139 | 20294 |
| 180 and 101 | 18180 |