Least Common Multiple of 7671 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 7671 and 7679 the smallest integer that is 58905609 that is divisible by both numbers.

Least Common Multiple (LCM) of 7671 and 7679 is 58905609.

LCM(7671,7679) = 58905609

LCM of 7671 and 7679

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

LCM of:
and

Least Common Multiple of 7671 and 7679

LCM of 7671 and 7679 is 58905609

Least common multiple can be found by multiplying the highest exponent prime factors of 7671 and 7679. First we will calculate the prime factors of 7671 and 7679.

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

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 7671 and 7679.

LCM(7671,7679) = 31×71×10971×25571
LCM(7671,7679) = 58905609

Factors of 7671

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

1, 3, 2557, 7671

Factors of 7679

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

1, 7, 1097, 7679

Least Common Multiple of 7671 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 7671 and 7679, than apply into the LCM equation.

GCF(7671,7679) = 1
LCM(7671,7679) = ( 7671 × 7679) / 1
LCM(7671,7679) = 58905609 / 1
LCM(7671,7679) = 58905609

Properties of LCM 7671 and 7679

(i) The LCM of 7679 and 7671 is associative

LCM of 7671 and 7679 = LCM of 7679 and 7671

Related Least Common Multiples of 7671

Related Least Common Multiples of 7679

Frequently Asked Questions on LCM of 7671 and 7679

1. What is the LCM of 7671 and 7679?

Answer: LCM of 7671 and 7679 is 58905609.

2. 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.

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 7671 and 7679?

Answer:

Least Common Multiple of 7671 and 7679 = 58905609

Step 1: Find the prime factorization of 7671

7671 = 3 x 2557

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 = 58905609 = 3 x 7 x 1097 x 2557

Step 4: Therefore, the least common multiple of 7671 and 7679 is 58905609.