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 |
|---|---|
| 101 and 82 | 8282 |
| 133 and 60 | 7980 |
| 25 and 133 | 3325 |
| 36 and 62 | 1116 |
| 121 and 112 | 13552 |