Least Common Multiple of 7665 and 7671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7665 and 7671 the smallest integer that is 19599405 that is divisible by both numbers.

Least Common Multiple (LCM) of 7665 and 7671 is 19599405.

LCM(7665,7671) = 19599405

LCM of 7665 and 7671

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

LCM of:
and

Least Common Multiple of 7665 and 7671

LCM of 7665 and 7671 is 19599405

Least common multiple can be found by multiplying the highest exponent prime factors of 7665 and 7671. First we will calculate the prime factors of 7665 and 7671.

Prime Factorization of 7665


3 7665
5 2555
7 511
73 73
1

Prime factors of 7665 are 3, 5, 7,73. Prime factorization of 7665 in exponential form is:

7665 = 31×51×71×731

Prime Factorization of 7671


3 7671
2557 2557
1

Prime factors of 7671 are 3,2557. Prime factorization of 7671 in exponential form is:

7671 = 31×25571

Now multiplying the highest exponent prime factors to calculate the LCM of 7665 and 7671.

LCM(7665,7671) = 31×51×71×731×25571
LCM(7665,7671) = 19599405

Factors of 7665

List of positive integer factors of 7665 that divides 7665 without a remainder.

1, 3, 5, 7, 15, 21, 35, 73, 105, 219, 365, 511, 1095, 1533, 2555, 7665

Factors of 7671

List of positive integer factors of 7671 that divides 7671 without a remainder.

1, 3, 2557, 7671

Least Common Multiple of 7665 and 7671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7665 and 7671, than apply into the LCM equation.

GCF(7665,7671) = 3
LCM(7665,7671) = ( 7665 × 7671) / 3
LCM(7665,7671) = 58798215 / 3
LCM(7665,7671) = 19599405

Properties of LCM 7665 and 7671

(i) The LCM of 7671 and 7665 is associative

LCM of 7665 and 7671 = LCM of 7671 and 7665

Related Least Common Multiples of 7665

Related Least Common Multiples of 7671

Frequently Asked Questions on LCM of 7665 and 7671

1. What is the LCM of 7665 and 7671?

Answer: LCM of 7665 and 7671 is 19599405.

2. What are the Factors of 7665?

Answer: Factors of 7665 are 1, 3, 5, 7, 15, 21, 35, 73, 105, 219, 365, 511, 1095, 1533, 2555, 7665. There are 16 integers that are factors of 7665. The greatest factor of 7665 is 7665.

3. What are the Factors of 7671?

Answer: Factors of 7671 are 1, 3, 2557, 7671. There are 4 integers that are factors of 7671. The greatest factor of 7671 is 7671.

4. How to Find the LCM of 7665 and 7671?

Answer:

Least Common Multiple of 7665 and 7671 = 19599405

Step 1: Find the prime factorization of 7665

7665 = 3 x 5 x 7 x 73

Step 2: Find the prime factorization of 7671

7671 = 3 x 2557

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

LCM = 19599405 = 3 x 5 x 7 x 73 x 2557

Step 4: Therefore, the least common multiple of 7665 and 7671 is 19599405.