Least Common Multiple (LCM) of 194 and 151
The least common multiple (LCM) of 194 and 151 is 29294.
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 151?
First, calculate the GCD of 194 and 151 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 194 ÷ 151 = 1 remainder 43 |
| 2 | 151 ÷ 43 = 3 remainder 22 |
| 3 | 43 ÷ 22 = 1 remainder 21 |
| 4 | 22 ÷ 21 = 1 remainder 1 |
| 5 | 21 ÷ 1 = 21 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 123 and 168 | 6888 |
| 129 and 43 | 129 |
| 197 and 69 | 13593 |
| 172 and 76 | 3268 |
| 98 and 177 | 17346 |