Least Common Multiple of 7665 and 7672

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 7672 the smallest integer that is 8400840 that is divisible by both numbers.

Least Common Multiple (LCM) of 7665 and 7672 is 8400840.

LCM(7665,7672) = 8400840

LCM of 7665 and 7672

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

LCM of:
and

Least Common Multiple of 7665 and 7672

LCM of 7665 and 7672 is 8400840

Least common multiple can be found by multiplying the highest exponent prime factors of 7665 and 7672. First we will calculate the prime factors of 7665 and 7672.

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 7672


2 7672
2 3836
2 1918
7 959
137 137
1

Prime factors of 7672 are 2, 7,137. Prime factorization of 7672 in exponential form is:

7672 = 23×71×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 7665 and 7672.

LCM(7665,7672) = 23×31×51×71×731×1371
LCM(7665,7672) = 8400840

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 7672

List of positive integer factors of 7672 that divides 7672 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 137, 274, 548, 959, 1096, 1918, 3836, 7672

Least Common Multiple of 7665 and 7672 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 7672, than apply into the LCM equation.

GCF(7665,7672) = 7
LCM(7665,7672) = ( 7665 × 7672) / 7
LCM(7665,7672) = 58805880 / 7
LCM(7665,7672) = 8400840

Properties of LCM 7665 and 7672

(i) The LCM of 7672 and 7665 is associative

LCM of 7665 and 7672 = LCM of 7672 and 7665

Related Least Common Multiples of 7665

Related Least Common Multiples of 7672

Frequently Asked Questions on LCM of 7665 and 7672

1. What is the LCM of 7665 and 7672?

Answer: LCM of 7665 and 7672 is 8400840.

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 7672?

Answer: Factors of 7672 are 1, 2, 4, 7, 8, 14, 28, 56, 137, 274, 548, 959, 1096, 1918, 3836, 7672. There are 16 integers that are factors of 7672. The greatest factor of 7672 is 7672.

4. How to Find the LCM of 7665 and 7672?

Answer:

Least Common Multiple of 7665 and 7672 = 8400840

Step 1: Find the prime factorization of 7665

7665 = 3 x 5 x 7 x 73

Step 2: Find the prime factorization of 7672

7672 = 2 x 2 x 2 x 7 x 137

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

LCM = 8400840 = 2 x 2 x 2 x 3 x 5 x 7 x 73 x 137

Step 4: Therefore, the least common multiple of 7665 and 7672 is 8400840.