Least Common Multiple of 73405 and 73409

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

• Least Common Multiple of 73405 and 73409 by Prime method
• Least Common Multiple of 73405 and 73409 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 73405 and 73409. First we will calculate the prime factors of 73405 and 73409.

Prime Factorization of 73405

Prime factors of 73405 are 5, 53,277. Prime factorization of 73405 in exponential form is:

73405 = 5¹×53¹×277¹

Prime Factorization of 73409

Prime factors of 73409 are 7,10487. Prime factorization of 73409 in exponential form is:

73409 = 7¹×10487¹

Now multiplying the highest exponent prime factors to calculate the LCM of 73405 and 73409.

LCM(73405,73409) = 5¹×7¹×53¹×277¹×10487¹
LCM(73405,73409) = 5388587645

Factors of 73405

List of positive integer factors of 73405 that divides 73405 without a remainder.

1, 5, 53, 265, 277, 1385, 14681, 73405

Factors of 73409

List of positive integer factors of 73409 that divides 73409 without a remainder.

1, 7, 10487, 73409

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73405 and 73409, than apply into the LCM equation.

GCF(73405,73409) = 1
LCM(73405,73409) = ( 73405 × 73409) / 1
LCM(73405,73409) = 5388587645 / 1
LCM(73405,73409) = 5388587645

(i) The LCM of 73409 and 73405 is associative

LCM of 73405 and 73409 = LCM of 73409 and 73405

1. What is the LCM of 73405 and 73409?

Answer: LCM of 73405 and 73409 is 5388587645.

2. What are the Factors of 73405?

Answer: Factors of 73405 are 1, 5, 53, 265, 277, 1385, 14681, 73405. There are 8 integers that are factors of 73405. The greatest factor of 73405 is 73405.

3. What are the Factors of 73409?

Answer: Factors of 73409 are 1, 7, 10487, 73409. There are 4 integers that are factors of 73409. The greatest factor of 73409 is 73409.

4. How to Find the LCM of 73405 and 73409?

Answer:

Least Common Multiple of 73405 and 73409 = 5388587645

Step 1: Find the prime factorization of 73405

73405 = 5 x 53 x 277

Step 2: Find the prime factorization of 73409

73409 = 7 x 10487

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 5388587645 = 5 x 7 x 53 x 277 x 10487

Step 4: Therefore, the least common multiple of 73405 and 73409 is 5388587645.