Least Common Multiple (LCM) of 92 and 143
The least common multiple (LCM) of 92 and 143 is 13156.
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 92 and 143?
First, calculate the GCD of 92 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 92 ÷ 143 = 0 remainder 92 |
| 2 | 143 ÷ 92 = 1 remainder 51 |
| 3 | 92 ÷ 51 = 1 remainder 41 |
| 4 | 51 ÷ 41 = 1 remainder 10 |
| 5 | 41 ÷ 10 = 4 remainder 1 |
| 6 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 23 and 109 | 2507 |
| 177 and 136 | 24072 |
| 87 and 105 | 3045 |
| 137 and 99 | 13563 |
| 65 and 139 | 9035 |