Least Common Multiple of 7665 and 7673

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 7673 the smallest integer that is 58813545 that is divisible by both numbers.

Least Common Multiple (LCM) of 7665 and 7673 is 58813545.

LCM(7665,7673) = 58813545

LCM of 7665 and 7673

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

LCM of:
and

Least Common Multiple of 7665 and 7673

LCM of 7665 and 7673 is 58813545

Least common multiple can be found by multiplying the highest exponent prime factors of 7665 and 7673. First we will calculate the prime factors of 7665 and 7673.

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 7673


7673 7673
1

Prime factors of 7673 are 7673. Prime factorization of 7673 in exponential form is:

7673 = 76731

Now multiplying the highest exponent prime factors to calculate the LCM of 7665 and 7673.

LCM(7665,7673) = 31×51×71×731×76731
LCM(7665,7673) = 58813545

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 7673

List of positive integer factors of 7673 that divides 7673 without a remainder.

1, 7673

Least Common Multiple of 7665 and 7673 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 7673, than apply into the LCM equation.

GCF(7665,7673) = 1
LCM(7665,7673) = ( 7665 × 7673) / 1
LCM(7665,7673) = 58813545 / 1
LCM(7665,7673) = 58813545

Properties of LCM 7665 and 7673

(i) The LCM of 7673 and 7665 is associative

LCM of 7665 and 7673 = LCM of 7673 and 7665

Related Least Common Multiples of 7665

Related Least Common Multiples of 7673

Frequently Asked Questions on LCM of 7665 and 7673

1. What is the LCM of 7665 and 7673?

Answer: LCM of 7665 and 7673 is 58813545.

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 7673?

Answer: Factors of 7673 are 1, 7673. There are 2 integers that are factors of 7673. The greatest factor of 7673 is 7673.

4. How to Find the LCM of 7665 and 7673?

Answer:

Least Common Multiple of 7665 and 7673 = 58813545

Step 1: Find the prime factorization of 7665

7665 = 3 x 5 x 7 x 73

Step 2: Find the prime factorization of 7673

7673 = 7673

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

LCM = 58813545 = 3 x 5 x 7 x 73 x 7673

Step 4: Therefore, the least common multiple of 7665 and 7673 is 58813545.