Least Common Multiple (LCM) of 76 and 73
The least common multiple (LCM) of 76 and 73 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 76 and 73?
First, calculate the GCD of 76 and 73 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 76 ÷ 73 = 1 remainder 3 |
| 2 | 73 ÷ 3 = 24 remainder 1 |
| 3 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 125 and 130 | 3250 |
| 41 and 131 | 5371 |
| 168 and 57 | 3192 |
| 165 and 12 | 660 |
| 198 and 88 | 792 |