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 |
|---|---|
| 46 and 44 | 1012 |
| 158 and 152 | 12008 |
| 23 and 49 | 1127 |
| 51 and 138 | 2346 |
| 105 and 32 | 3360 |