Least Common Multiple (LCM) of 148 and 143
The least common multiple (LCM) of 148 and 143 is 21164.
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 148 and 143?
First, calculate the GCD of 148 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 148 ÷ 143 = 1 remainder 5 |
| 2 | 143 ÷ 5 = 28 remainder 3 |
| 3 | 5 ÷ 3 = 1 remainder 2 |
| 4 | 3 ÷ 2 = 1 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 189 and 10 | 1890 |
| 171 and 47 | 8037 |
| 144 and 35 | 5040 |
| 109 and 126 | 13734 |
| 79 and 80 | 6320 |