Least Common Multiple (LCM) of 73 and 52
The least common multiple (LCM) of 73 and 52 is 3796.
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 52?
First, calculate the GCD of 73 and 52 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 52 = 1 remainder 21 |
| 2 | 52 ÷ 21 = 2 remainder 10 |
| 3 | 21 ÷ 10 = 2 remainder 1 |
| 4 | 10 ÷ 1 = 10 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 61 and 38 | 2318 |
| 85 and 60 | 1020 |
| 122 and 35 | 4270 |
| 142 and 180 | 12780 |
| 20 and 15 | 60 |