Least Common Multiple (LCM) of 72 and 94
The least common multiple (LCM) of 72 and 94 is 3384.
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 94?
First, calculate the GCD of 72 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 72 ÷ 94 = 0 remainder 72 |
| 2 | 94 ÷ 72 = 1 remainder 22 |
| 3 | 72 ÷ 22 = 3 remainder 6 |
| 4 | 22 ÷ 6 = 3 remainder 4 |
| 5 | 6 ÷ 4 = 1 remainder 2 |
| 6 | 4 ÷ 2 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 162 | 3726 |
| 187 and 11 | 187 |
| 77 and 44 | 308 |
| 40 and 195 | 1560 |
| 186 and 120 | 3720 |