
Least Common Multiple (LCM) of 159 and 28
The least common multiple (LCM) of 159 and 28 is 4452.
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 159 and 28?
First, calculate the GCD of 159 and 28 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
Step | Calculation |
---|---|
1 | 159 ÷ 28 = 5 remainder 19 |
2 | 28 ÷ 19 = 1 remainder 9 |
3 | 19 ÷ 9 = 2 remainder 1 |
4 | 9 ÷ 1 = 9 remainder 0 |
Examples of LCM Calculations
Numbers | LCM |
---|---|
100 and 104 | 2600 |
21 and 177 | 1239 |
65 and 40 | 520 |
127 and 137 | 17399 |
188 and 140 | 6580 |