Least Common Multiple (LCM) of 119 and 143
The least common multiple (LCM) of 119 and 143 is 17017.
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 143?
First, calculate the GCD of 119 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 119 ÷ 143 = 0 remainder 119 |
| 2 | 143 ÷ 119 = 1 remainder 24 |
| 3 | 119 ÷ 24 = 4 remainder 23 |
| 4 | 24 ÷ 23 = 1 remainder 1 |
| 5 | 23 ÷ 1 = 23 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 159 and 99 | 5247 |
| 60 and 16 | 240 |
| 113 and 53 | 5989 |
| 114 and 70 | 3990 |
| 149 and 113 | 16837 |