Least Common Multiple (LCM) of 169 and 51
The least common multiple (LCM) of 169 and 51 is 8619.
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 169 and 51?
First, calculate the GCD of 169 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 51 = 3 remainder 16 |
| 2 | 51 ÷ 16 = 3 remainder 3 |
| 3 | 16 ÷ 3 = 5 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 33 | 4323 |
| 43 and 78 | 3354 |
| 142 and 20 | 1420 |
| 82 and 82 | 82 |
| 129 and 57 | 2451 |