Least Common Multiple (LCM) of 95 and 143
The least common multiple (LCM) of 95 and 143 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 95 and 143?
First, calculate the GCD of 95 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 95 ÷ 143 = 0 remainder 95 |
| 2 | 143 ÷ 95 = 1 remainder 48 |
| 3 | 95 ÷ 48 = 1 remainder 47 |
| 4 | 48 ÷ 47 = 1 remainder 1 |
| 5 | 47 ÷ 1 = 47 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 131 and 108 | 14148 |
| 121 and 180 | 21780 |
| 101 and 198 | 19998 |
| 138 and 65 | 8970 |
| 116 and 91 | 10556 |