Least Common Multiple (LCM) of 73 and 200
The least common multiple (LCM) of 73 and 200 is 14600.
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 200?
First, calculate the GCD of 73 and 200 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 73 ÷ 200 = 0 remainder 73 |
| 2 | 200 ÷ 73 = 2 remainder 54 |
| 3 | 73 ÷ 54 = 1 remainder 19 |
| 4 | 54 ÷ 19 = 2 remainder 16 |
| 5 | 19 ÷ 16 = 1 remainder 3 |
| 6 | 16 ÷ 3 = 5 remainder 1 |
| 7 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 104 and 76 | 1976 |
| 150 and 154 | 11550 |
| 132 and 79 | 10428 |
| 102 and 19 | 1938 |
| 19 and 70 | 1330 |