Least Common Multiple (LCM) of 72 and 25
The least common multiple (LCM) of 72 and 25 is 1800.
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 25?
First, calculate the GCD of 72 and 25 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 25 = 2 remainder 22 |
| 2 | 25 ÷ 22 = 1 remainder 3 |
| 3 | 22 ÷ 3 = 7 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 186 | 24366 |
| 55 and 40 | 440 |
| 161 and 18 | 2898 |
| 35 and 200 | 1400 |
| 20 and 167 | 3340 |