Least Common Multiple (LCM) of 143 and 69
The least common multiple (LCM) of 143 and 69 is 9867.
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 69?
First, calculate the GCD of 143 and 69 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 69 = 2 remainder 5 |
| 2 | 69 ÷ 5 = 13 remainder 4 |
| 3 | 5 ÷ 4 = 1 remainder 1 |
| 4 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 192 and 74 | 7104 |
| 126 and 87 | 3654 |
| 37 and 171 | 6327 |
| 28 and 140 | 140 |
| 12 and 174 | 348 |