Least Common Multiple (LCM) of 191 and 51
The least common multiple (LCM) of 191 and 51 is 9741.
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 191 and 51?
First, calculate the GCD of 191 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 191 ÷ 51 = 3 remainder 38 |
| 2 | 51 ÷ 38 = 1 remainder 13 |
| 3 | 38 ÷ 13 = 2 remainder 12 |
| 4 | 13 ÷ 12 = 1 remainder 1 |
| 5 | 12 ÷ 1 = 12 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 118 and 192 | 11328 |
| 112 and 190 | 10640 |
| 170 and 120 | 2040 |
| 145 and 126 | 18270 |
| 29 and 51 | 1479 |