Least Common Multiple (LCM) of 150 and 143
The least common multiple (LCM) of 150 and 143 is 21450.
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 143?
First, calculate the GCD of 150 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 150 ÷ 143 = 1 remainder 7 |
| 2 | 143 ÷ 7 = 20 remainder 3 |
| 3 | 7 ÷ 3 = 2 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 14 | 1358 |
| 53 and 129 | 6837 |
| 33 and 148 | 4884 |
| 71 and 197 | 13987 |
| 39 and 155 | 6045 |