Least Common Multiple (LCM) of 43 and 153
The least common multiple (LCM) of 43 and 153 is 6579.
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 43 and 153?
First, calculate the GCD of 43 and 153 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 43 ÷ 153 = 0 remainder 43 |
| 2 | 153 ÷ 43 = 3 remainder 24 |
| 3 | 43 ÷ 24 = 1 remainder 19 |
| 4 | 24 ÷ 19 = 1 remainder 5 |
| 5 | 19 ÷ 5 = 3 remainder 4 |
| 6 | 5 ÷ 4 = 1 remainder 1 |
| 7 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 97 and 68 | 6596 |
| 182 and 118 | 10738 |
| 157 and 133 | 20881 |
| 73 and 43 | 3139 |
| 38 and 80 | 1520 |