Least Common Multiple (LCM) of 190 and 143
The least common multiple (LCM) of 190 and 143 is 27170.
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 190 and 143?
First, calculate the GCD of 190 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 190 ÷ 143 = 1 remainder 47 |
| 2 | 143 ÷ 47 = 3 remainder 2 |
| 3 | 47 ÷ 2 = 23 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 12 and 155 | 1860 |
| 15 and 99 | 495 |
| 121 and 106 | 12826 |
| 114 and 20 | 1140 |
| 80 and 179 | 14320 |