Least Common Multiple (LCM) of 72 and 39
The least common multiple (LCM) of 72 and 39 is 936.
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 39?
First, calculate the GCD of 72 and 39 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 39 = 1 remainder 33 |
| 2 | 39 ÷ 33 = 1 remainder 6 |
| 3 | 33 ÷ 6 = 5 remainder 3 |
| 4 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 26 and 164 | 2132 |
| 71 and 118 | 8378 |
| 85 and 51 | 255 |
| 162 and 98 | 7938 |
| 191 and 187 | 35717 |