Least Common Multiple of 7679 and 7687

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 7687 the smallest integer that is 59028473 that is divisible by both numbers.

Least Common Multiple (LCM) of 7679 and 7687 is 59028473.

LCM(7679,7687) = 59028473

LCM of 7679 and 7687

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

LCM of:
and

Least Common Multiple of 7679 and 7687

LCM of 7679 and 7687 is 59028473

Least common multiple can be found by multiplying the highest exponent prime factors of 7679 and 7687. First we will calculate the prime factors of 7679 and 7687.

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 7687


7687 7687
1

Prime factors of 7687 are 7687. Prime factorization of 7687 in exponential form is:

7687 = 76871

Now multiplying the highest exponent prime factors to calculate the LCM of 7679 and 7687.

LCM(7679,7687) = 71×10971×76871
LCM(7679,7687) = 59028473

Factors of 7679

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

1, 7, 1097, 7679

Factors of 7687

List of positive integer factors of 7687 that divides 7687 without a remainder.

1, 7687

Least Common Multiple of 7679 and 7687 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 7687, than apply into the LCM equation.

GCF(7679,7687) = 1
LCM(7679,7687) = ( 7679 × 7687) / 1
LCM(7679,7687) = 59028473 / 1
LCM(7679,7687) = 59028473

Properties of LCM 7679 and 7687

(i) The LCM of 7687 and 7679 is associative

LCM of 7679 and 7687 = LCM of 7687 and 7679

Related Least Common Multiples of 7679

Related Least Common Multiples of 7687

Frequently Asked Questions on LCM of 7679 and 7687

1. What is the LCM of 7679 and 7687?

Answer: LCM of 7679 and 7687 is 59028473.

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 7687?

Answer: Factors of 7687 are 1, 7687. There are 2 integers that are factors of 7687. The greatest factor of 7687 is 7687.

4. How to Find the LCM of 7679 and 7687?

Answer:

Least Common Multiple of 7679 and 7687 = 59028473

Step 1: Find the prime factorization of 7679

7679 = 7 x 1097

Step 2: Find the prime factorization of 7687

7687 = 7687

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

LCM = 59028473 = 7 x 1097 x 7687

Step 4: Therefore, the least common multiple of 7679 and 7687 is 59028473.