Least Common Multiple (LCM) of 194 and 36
The least common multiple (LCM) of 194 and 36 is 3492.
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 36?
First, calculate the GCD of 194 and 36 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 36 = 5 remainder 14 |
| 2 | 36 ÷ 14 = 2 remainder 8 |
| 3 | 14 ÷ 8 = 1 remainder 6 |
| 4 | 8 ÷ 6 = 1 remainder 2 |
| 5 | 6 ÷ 2 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 114 and 171 | 342 |
| 99 and 199 | 19701 |
| 72 and 47 | 3384 |
| 157 and 183 | 28731 |
| 34 and 33 | 1122 |