Least Common Multiple of 73401 and 73405

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

• Least Common Multiple of 73401 and 73405 by Prime method
• Least Common Multiple of 73401 and 73405 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 73401 and 73405. First we will calculate the prime factors of 73401 and 73405.

Prime Factorization of 73401

Prime factors of 73401 are 3, 43,569. Prime factorization of 73401 in exponential form is:

73401 = 3¹×43¹×569¹

Prime Factorization of 73405

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

73405 = 5¹×53¹×277¹

Now multiplying the highest exponent prime factors to calculate the LCM of 73401 and 73405.

LCM(73401,73405) = 3¹×5¹×43¹×53¹×277¹×569¹
LCM(73401,73405) = 5388000405

Factors of 73401

List of positive integer factors of 73401 that divides 73401 without a remainder.

1, 3, 43, 129, 569, 1707, 24467, 73401

Factors of 73405

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

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

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73401 and 73405, than apply into the LCM equation.

GCF(73401,73405) = 1
LCM(73401,73405) = ( 73401 × 73405) / 1
LCM(73401,73405) = 5388000405 / 1
LCM(73401,73405) = 5388000405

(i) The LCM of 73405 and 73401 is associative

LCM of 73401 and 73405 = LCM of 73405 and 73401

1. What is the LCM of 73401 and 73405?

Answer: LCM of 73401 and 73405 is 5388000405.

2. What are the Factors of 73401?

Answer: Factors of 73401 are 1, 3, 43, 129, 569, 1707, 24467, 73401. There are 8 integers that are factors of 73401. The greatest factor of 73401 is 73401.

3. 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.

4. How to Find the LCM of 73401 and 73405?

Answer:

Least Common Multiple of 73401 and 73405 = 5388000405

Step 1: Find the prime factorization of 73401

73401 = 3 x 43 x 569

Step 2: Find the prime factorization of 73405

73405 = 5 x 53 x 277

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

LCM = 5388000405 = 3 x 5 x 43 x 53 x 277 x 569

Step 4: Therefore, the least common multiple of 73401 and 73405 is 5388000405.