Least Common Multiple (LCM) of 145 and 159
The least common multiple (LCM) of 145 and 159 is 23055.
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 145 and 159?
First, calculate the GCD of 145 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 145 ÷ 159 = 0 remainder 145 |
| 2 | 159 ÷ 145 = 1 remainder 14 |
| 3 | 145 ÷ 14 = 10 remainder 5 |
| 4 | 14 ÷ 5 = 2 remainder 4 |
| 5 | 5 ÷ 4 = 1 remainder 1 |
| 6 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 132 and 197 | 26004 |
| 68 and 114 | 3876 |
| 171 and 185 | 31635 |
| 165 and 163 | 26895 |
| 120 and 14 | 840 |