Least Common Multiple (LCM) of 169 and 48
The least common multiple (LCM) of 169 and 48 is 8112.
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 48?
First, calculate the GCD of 169 and 48 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 48 = 3 remainder 25 |
| 2 | 48 ÷ 25 = 1 remainder 23 |
| 3 | 25 ÷ 23 = 1 remainder 2 |
| 4 | 23 ÷ 2 = 11 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 191 and 171 | 32661 |
| 111 and 112 | 12432 |
| 200 and 33 | 6600 |
| 141 and 84 | 3948 |
| 187 and 111 | 20757 |