Least Common Multiple (LCM) of 74 and 143
The least common multiple (LCM) of 74 and 143 is 10582.
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 74 and 143?
First, calculate the GCD of 74 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 74 ÷ 143 = 0 remainder 74 |
| 2 | 143 ÷ 74 = 1 remainder 69 |
| 3 | 74 ÷ 69 = 1 remainder 5 |
| 4 | 69 ÷ 5 = 13 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 138 | 966 |
| 71 and 15 | 1065 |
| 140 and 143 | 20020 |
| 99 and 192 | 6336 |
| 19 and 120 | 2280 |