Least Common Multiple (LCM) of 169 and 57
The least common multiple (LCM) of 169 and 57 is 9633.
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 57?
First, calculate the GCD of 169 and 57 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 169 ÷ 57 = 2 remainder 55 |
| 2 | 57 ÷ 55 = 1 remainder 2 |
| 3 | 55 ÷ 2 = 27 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 21 and 75 | 525 |
| 15 and 94 | 1410 |
| 189 and 162 | 1134 |
| 42 and 186 | 1302 |
| 128 and 99 | 12672 |