Least Common Multiple (LCM) of 72 and 143
The least common multiple (LCM) of 72 and 143 is 10296.
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 72 and 143?
First, calculate the GCD of 72 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 143 = 0 remainder 72 |
| 2 | 143 ÷ 72 = 1 remainder 71 |
| 3 | 72 ÷ 71 = 1 remainder 1 |
| 4 | 71 ÷ 1 = 71 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 147 and 132 | 6468 |
| 28 and 143 | 4004 |
| 193 and 83 | 16019 |
| 24 and 180 | 360 |
| 129 and 175 | 22575 |