Least Common Multiple (LCM) of 141 and 150
The least common multiple (LCM) of 141 and 150 is 7050.
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 141 and 150?
First, calculate the GCD of 141 and 150 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 141 ÷ 150 = 0 remainder 141 |
| 2 | 150 ÷ 141 = 1 remainder 9 |
| 3 | 141 ÷ 9 = 15 remainder 6 |
| 4 | 9 ÷ 6 = 1 remainder 3 |
| 5 | 6 ÷ 3 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 81 and 133 | 10773 |
| 25 and 65 | 325 |
| 88 and 169 | 14872 |
| 36 and 13 | 468 |
| 188 and 20 | 940 |