Least Common Multiple (LCM) of 143 and 95
The least common multiple (LCM) of 143 and 95 is 13585.
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 143 and 95?
First, calculate the GCD of 143 and 95 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 143 ÷ 95 = 1 remainder 48 |
| 2 | 95 ÷ 48 = 1 remainder 47 |
| 3 | 48 ÷ 47 = 1 remainder 1 |
| 4 | 47 ÷ 1 = 47 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 35 and 23 | 805 |
| 147 and 191 | 28077 |
| 93 and 74 | 6882 |
| 103 and 153 | 15759 |
| 141 and 82 | 11562 |