Least Common Multiple of 7672 and 7676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7672 and 7676 the smallest integer that is 14722568 that is divisible by both numbers.

Least Common Multiple (LCM) of 7672 and 7676 is 14722568.

LCM(7672,7676) = 14722568

LCM of 7672 and 7676

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

LCM of:
and

Least Common Multiple of 7672 and 7676

LCM of 7672 and 7676 is 14722568

Least common multiple can be found by multiplying the highest exponent prime factors of 7672 and 7676. First we will calculate the prime factors of 7672 and 7676.

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

Prime Factorization of 7676


2 7676
2 3838
19 1919
101 101
1

Prime factors of 7676 are 2, 19,101. Prime factorization of 7676 in exponential form is:

7676 = 22×191×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 7672 and 7676.

LCM(7672,7676) = 23×71×191×1011×1371
LCM(7672,7676) = 14722568

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

Factors of 7676

List of positive integer factors of 7676 that divides 7676 without a remainder.

1, 2, 4, 19, 38, 76, 101, 202, 404, 1919, 3838, 7676

Least Common Multiple of 7672 and 7676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7672 and 7676, than apply into the LCM equation.

GCF(7672,7676) = 4
LCM(7672,7676) = ( 7672 × 7676) / 4
LCM(7672,7676) = 58890272 / 4
LCM(7672,7676) = 14722568

Properties of LCM 7672 and 7676

(i) The LCM of 7676 and 7672 is associative

LCM of 7672 and 7676 = LCM of 7676 and 7672

Related Least Common Multiples of 7672

Related Least Common Multiples of 7676

Frequently Asked Questions on LCM of 7672 and 7676

1. What is the LCM of 7672 and 7676?

Answer: LCM of 7672 and 7676 is 14722568.

2. 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.

3. What are the Factors of 7676?

Answer: Factors of 7676 are 1, 2, 4, 19, 38, 76, 101, 202, 404, 1919, 3838, 7676. There are 12 integers that are factors of 7676. The greatest factor of 7676 is 7676.

4. How to Find the LCM of 7672 and 7676?

Answer:

Least Common Multiple of 7672 and 7676 = 14722568

Step 1: Find the prime factorization of 7672

7672 = 2 x 2 x 2 x 7 x 137

Step 2: Find the prime factorization of 7676

7676 = 2 x 2 x 19 x 101

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

LCM = 14722568 = 2 x 2 x 2 x 7 x 19 x 101 x 137

Step 4: Therefore, the least common multiple of 7672 and 7676 is 14722568.