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 |
|---|---|
| 161 and 49 | 1127 |
| 151 and 155 | 23405 |
| 175 and 52 | 9100 |
| 132 and 192 | 2112 |
| 182 and 37 | 6734 |