Least Common Multiple (LCM) of 179 and 143
The least common multiple (LCM) of 179 and 143 is 25597.
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 179 and 143?
First, calculate the GCD of 179 and 143 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 179 ÷ 143 = 1 remainder 36 |
| 2 | 143 ÷ 36 = 3 remainder 35 |
| 3 | 36 ÷ 35 = 1 remainder 1 |
| 4 | 35 ÷ 1 = 35 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 189 | 7749 |
| 120 and 60 | 120 |
| 154 and 157 | 24178 |
| 109 and 111 | 12099 |
| 195 and 154 | 30030 |