Least Common Multiple (LCM) of 110 and 120
The least common multiple (LCM) of 110 and 120 is 1320.
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 120?
First, calculate the GCD of 110 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 110 ÷ 120 = 0 remainder 110 |
| 2 | 120 ÷ 110 = 1 remainder 10 |
| 3 | 110 ÷ 10 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 171 and 12 | 684 |
| 128 and 112 | 896 |
| 192 and 12 | 192 |
| 119 and 120 | 14280 |
| 158 and 133 | 21014 |