Least Common Multiple (LCM) of 176 and 143
The least common multiple (LCM) of 176 and 143 is 2288.
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 176 and 143?
First, calculate the GCD of 176 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 176 ÷ 143 = 1 remainder 33 |
| 2 | 143 ÷ 33 = 4 remainder 11 |
| 3 | 33 ÷ 11 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 115 and 62 | 7130 |
| 75 and 178 | 13350 |
| 147 and 109 | 16023 |
| 59 and 105 | 6195 |
| 79 and 178 | 14062 |