Least Common Multiple (LCM) of 73 and 43
The least common multiple (LCM) of 73 and 43 is 3139.
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 73 and 43?
First, calculate the GCD of 73 and 43 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 43 = 1 remainder 30 |
| 2 | 43 ÷ 30 = 1 remainder 13 |
| 3 | 30 ÷ 13 = 2 remainder 4 |
| 4 | 13 ÷ 4 = 3 remainder 1 |
| 5 | 4 ÷ 1 = 4 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 41 and 172 | 7052 |
| 70 and 11 | 770 |
| 199 and 148 | 29452 |
| 98 and 194 | 9506 |
| 164 and 99 | 16236 |