Least Common Multiple (LCM) of 119 and 120
The least common multiple (LCM) of 119 and 120 is 14280.
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 119 and 120?
First, calculate the GCD of 119 and 120 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 120 = 0 remainder 119 |
| 2 | 120 ÷ 119 = 1 remainder 1 |
| 3 | 119 ÷ 1 = 119 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 23 | 2392 |
| 74 and 114 | 4218 |
| 159 and 36 | 1908 |
| 160 and 178 | 14240 |
| 135 and 18 | 270 |