Least Common Multiple of 7672 and 7679

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 7679 the smallest integer that is 8416184 that is divisible by both numbers.

Least Common Multiple (LCM) of 7672 and 7679 is 8416184.

LCM(7672,7679) = 8416184

LCM of 7672 and 7679

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

LCM of:
and

Least Common Multiple of 7672 and 7679

LCM of 7672 and 7679 is 8416184

Least common multiple can be found by multiplying the highest exponent prime factors of 7672 and 7679. First we will calculate the prime factors of 7672 and 7679.

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 7679


7 7679
1097 1097
1

Prime factors of 7679 are 7,1097. Prime factorization of 7679 in exponential form is:

7679 = 71×10971

Now multiplying the highest exponent prime factors to calculate the LCM of 7672 and 7679.

LCM(7672,7679) = 23×71×1371×10971
LCM(7672,7679) = 8416184

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 7679

List of positive integer factors of 7679 that divides 7679 without a remainder.

1, 7, 1097, 7679

Least Common Multiple of 7672 and 7679 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 7679, than apply into the LCM equation.

GCF(7672,7679) = 7
LCM(7672,7679) = ( 7672 × 7679) / 7
LCM(7672,7679) = 58913288 / 7
LCM(7672,7679) = 8416184

Properties of LCM 7672 and 7679

(i) The LCM of 7679 and 7672 is associative

LCM of 7672 and 7679 = LCM of 7679 and 7672

Related Least Common Multiples of 7672

Related Least Common Multiples of 7679

Frequently Asked Questions on LCM of 7672 and 7679

1. What is the LCM of 7672 and 7679?

Answer: LCM of 7672 and 7679 is 8416184.

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 7679?

Answer: Factors of 7679 are 1, 7, 1097, 7679. There are 4 integers that are factors of 7679. The greatest factor of 7679 is 7679.

4. How to Find the LCM of 7672 and 7679?

Answer:

Least Common Multiple of 7672 and 7679 = 8416184

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 7679

7679 = 7 x 1097

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

LCM = 8416184 = 2 x 2 x 2 x 7 x 137 x 1097

Step 4: Therefore, the least common multiple of 7672 and 7679 is 8416184.