Least Common Multiple (LCM) of 73 and 76
The least common multiple (LCM) of 73 and 76 is 5548.
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 76?
First, calculate the GCD of 73 and 76 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 76 = 0 remainder 73 |
| 2 | 76 ÷ 73 = 1 remainder 3 |
| 3 | 73 ÷ 3 = 24 remainder 1 |
| 4 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 169 and 128 | 21632 |
| 193 and 154 | 29722 |
| 170 and 81 | 13770 |
| 16 and 83 | 1328 |
| 138 and 47 | 6486 |