Least Common Multiple (LCM) of 159 and 51
The least common multiple (LCM) of 159 and 51 is 2703.
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 51?
First, calculate the GCD of 159 and 51 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 159 ÷ 51 = 3 remainder 6 |
| 2 | 51 ÷ 6 = 8 remainder 3 |
| 3 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 151 and 106 | 16006 |
| 25 and 113 | 2825 |
| 143 and 61 | 8723 |
| 116 and 95 | 11020 |
| 100 and 131 | 13100 |