Least Common Multiple (LCM) of 143 and 74
The least common multiple (LCM) of 143 and 74 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 143 and 74?
First, calculate the GCD of 143 and 74 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 74 = 1 remainder 69 |
| 2 | 74 ÷ 69 = 1 remainder 5 |
| 3 | 69 ÷ 5 = 13 remainder 4 |
| 4 | 5 ÷ 4 = 1 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 104 | 2496 |
| 64 and 109 | 6976 |
| 17 and 59 | 1003 |
| 197 and 168 | 33096 |
| 190 and 111 | 21090 |