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 |
|---|---|
| 124 and 39 | 4836 |
| 151 and 172 | 25972 |
| 145 and 105 | 3045 |
| 171 and 187 | 31977 |
| 192 and 172 | 8256 |