Least Common Multiple (LCM) of 32 and 94
The least common multiple (LCM) of 32 and 94 is 1504.
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 32 and 94?
First, calculate the GCD of 32 and 94 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 32 ÷ 94 = 0 remainder 32 |
| 2 | 94 ÷ 32 = 2 remainder 30 |
| 3 | 32 ÷ 30 = 1 remainder 2 |
| 4 | 30 ÷ 2 = 15 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 120 and 30 | 120 |
| 184 and 125 | 23000 |
| 63 and 52 | 3276 |
| 129 and 21 | 903 |
| 53 and 138 | 7314 |