Least Common Multiple (LCM) of 194 and 88
The least common multiple (LCM) of 194 and 88 is 8536.
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 194 and 88?
First, calculate the GCD of 194 and 88 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 88 = 2 remainder 18 |
| 2 | 88 ÷ 18 = 4 remainder 16 |
| 3 | 18 ÷ 16 = 1 remainder 2 |
| 4 | 16 ÷ 2 = 8 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 80 and 61 | 4880 |
| 113 and 66 | 7458 |
| 194 and 69 | 13386 |
| 72 and 147 | 3528 |
| 119 and 27 | 3213 |