Least Common Multiple (LCM) of 94 and 52
The least common multiple (LCM) of 94 and 52 is 2444.
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 94 and 52?
First, calculate the GCD of 94 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 94 ÷ 52 = 1 remainder 42 |
| 2 | 52 ÷ 42 = 1 remainder 10 |
| 3 | 42 ÷ 10 = 4 remainder 2 |
| 4 | 10 ÷ 2 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 150 and 93 | 4650 |
| 104 and 161 | 16744 |
| 179 and 162 | 28998 |
| 192 and 52 | 2496 |
| 113 and 116 | 13108 |