Least Common Multiple (LCM) of 143 and 32
The least common multiple (LCM) of 143 and 32 is 4576.
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 32?
First, calculate the GCD of 143 and 32 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 32 = 4 remainder 15 |
| 2 | 32 ÷ 15 = 2 remainder 2 |
| 3 | 15 ÷ 2 = 7 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 179 and 175 | 31325 |
| 40 and 105 | 840 |
| 124 and 85 | 10540 |
| 117 and 140 | 16380 |
| 44 and 103 | 4532 |