Least Common Multiple of 7679 and 7683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7679 and 7683 the smallest integer that is 58997757 that is divisible by both numbers.

Least Common Multiple (LCM) of 7679 and 7683 is 58997757.

LCM(7679,7683) = 58997757

LCM of 7679 and 7683

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

LCM of:
and

Least Common Multiple of 7679 and 7683

LCM of 7679 and 7683 is 58997757

Least common multiple can be found by multiplying the highest exponent prime factors of 7679 and 7683. First we will calculate the prime factors of 7679 and 7683.

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

Prime Factorization of 7683


3 7683
13 2561
197 197
1

Prime factors of 7683 are 3, 13,197. Prime factorization of 7683 in exponential form is:

7683 = 31×131×1971

Now multiplying the highest exponent prime factors to calculate the LCM of 7679 and 7683.

LCM(7679,7683) = 31×71×131×1971×10971
LCM(7679,7683) = 58997757

Factors of 7679

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

1, 7, 1097, 7679

Factors of 7683

List of positive integer factors of 7683 that divides 7683 without a remainder.

1, 3, 13, 39, 197, 591, 2561, 7683

Least Common Multiple of 7679 and 7683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7679 and 7683, than apply into the LCM equation.

GCF(7679,7683) = 1
LCM(7679,7683) = ( 7679 × 7683) / 1
LCM(7679,7683) = 58997757 / 1
LCM(7679,7683) = 58997757

Properties of LCM 7679 and 7683

(i) The LCM of 7683 and 7679 is associative

LCM of 7679 and 7683 = LCM of 7683 and 7679

Related Least Common Multiples of 7679

Related Least Common Multiples of 7683

Frequently Asked Questions on LCM of 7679 and 7683

1. What is the LCM of 7679 and 7683?

Answer: LCM of 7679 and 7683 is 58997757.

2. 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.

3. What are the Factors of 7683?

Answer: Factors of 7683 are 1, 3, 13, 39, 197, 591, 2561, 7683. There are 8 integers that are factors of 7683. The greatest factor of 7683 is 7683.

4. How to Find the LCM of 7679 and 7683?

Answer:

Least Common Multiple of 7679 and 7683 = 58997757

Step 1: Find the prime factorization of 7679

7679 = 7 x 1097

Step 2: Find the prime factorization of 7683

7683 = 3 x 13 x 197

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

LCM = 58997757 = 3 x 7 x 13 x 197 x 1097

Step 4: Therefore, the least common multiple of 7679 and 7683 is 58997757.