Least Common Multiple (LCM) of 97 and 51
The least common multiple (LCM) of 97 and 51 is 4947.
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 97 and 51?
First, calculate the GCD of 97 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 97 ÷ 51 = 1 remainder 46 |
| 2 | 51 ÷ 46 = 1 remainder 5 |
| 3 | 46 ÷ 5 = 9 remainder 1 |
| 4 | 5 ÷ 1 = 5 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 160 and 133 | 21280 |
| 166 and 89 | 14774 |
| 84 and 58 | 2436 |
| 18 and 15 | 90 |
| 196 and 173 | 33908 |