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 |
|---|---|
| 168 and 135 | 7560 |
| 94 and 127 | 11938 |
| 158 and 91 | 14378 |
| 146 and 59 | 8614 |
| 166 and 26 | 2158 |