Least Common Multiple (LCM) of 150 and 159
The least common multiple (LCM) of 150 and 159 is 7950.
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 150 and 159?
First, calculate the GCD of 150 and 159 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 159 = 0 remainder 150 |
| 2 | 159 ÷ 150 = 1 remainder 9 |
| 3 | 150 ÷ 9 = 16 remainder 6 |
| 4 | 9 ÷ 6 = 1 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 43 and 112 | 4816 |
| 68 and 116 | 1972 |
| 89 and 174 | 15486 |
| 184 and 119 | 21896 |
| 195 and 174 | 11310 |