Least Common Multiple of 7675 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 7675 and 7679 the smallest integer that is 58936325 that is divisible by both numbers.

Least Common Multiple (LCM) of 7675 and 7679 is 58936325.

LCM(7675,7679) = 58936325

LCM of 7675 and 7679

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

LCM of:
and

Least Common Multiple of 7675 and 7679

LCM of 7675 and 7679 is 58936325

Least common multiple can be found by multiplying the highest exponent prime factors of 7675 and 7679. First we will calculate the prime factors of 7675 and 7679.

Prime Factorization of 7675


5 7675
5 1535
307 307
1

Prime factors of 7675 are 5,307. Prime factorization of 7675 in exponential form is:

7675 = 52×3071

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 7675 and 7679.

LCM(7675,7679) = 52×71×3071×10971
LCM(7675,7679) = 58936325

Factors of 7675

List of positive integer factors of 7675 that divides 7675 without a remainder.

1, 5, 25, 307, 1535, 7675

Factors of 7679

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

1, 7, 1097, 7679

Least Common Multiple of 7675 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 7675 and 7679, than apply into the LCM equation.

GCF(7675,7679) = 1
LCM(7675,7679) = ( 7675 × 7679) / 1
LCM(7675,7679) = 58936325 / 1
LCM(7675,7679) = 58936325

Properties of LCM 7675 and 7679

(i) The LCM of 7679 and 7675 is associative

LCM of 7675 and 7679 = LCM of 7679 and 7675

Related Least Common Multiples of 7675

Related Least Common Multiples of 7679

Frequently Asked Questions on LCM of 7675 and 7679

1. What is the LCM of 7675 and 7679?

Answer: LCM of 7675 and 7679 is 58936325.

2. What are the Factors of 7675?

Answer: Factors of 7675 are 1, 5, 25, 307, 1535, 7675. There are 6 integers that are factors of 7675. The greatest factor of 7675 is 7675.

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 7675 and 7679?

Answer:

Least Common Multiple of 7675 and 7679 = 58936325

Step 1: Find the prime factorization of 7675

7675 = 5 x 5 x 307

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 = 58936325 = 5 x 5 x 7 x 307 x 1097

Step 4: Therefore, the least common multiple of 7675 and 7679 is 58936325.