Least Common Multiple of 7673 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 7673 and 7679 the smallest integer that is 58920967 that is divisible by both numbers.

Least Common Multiple (LCM) of 7673 and 7679 is 58920967.

LCM(7673,7679) = 58920967

LCM of 7673 and 7679

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

LCM of:
and

Least Common Multiple of 7673 and 7679

LCM of 7673 and 7679 is 58920967

Least common multiple can be found by multiplying the highest exponent prime factors of 7673 and 7679. First we will calculate the prime factors of 7673 and 7679.

Prime Factorization of 7673


7673 7673
1

Prime factors of 7673 are 7673. Prime factorization of 7673 in exponential form is:

7673 = 76731

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 7673 and 7679.

LCM(7673,7679) = 71×10971×76731
LCM(7673,7679) = 58920967

Factors of 7673

List of positive integer factors of 7673 that divides 7673 without a remainder.

1, 7673

Factors of 7679

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

1, 7, 1097, 7679

Least Common Multiple of 7673 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 7673 and 7679, than apply into the LCM equation.

GCF(7673,7679) = 1
LCM(7673,7679) = ( 7673 × 7679) / 1
LCM(7673,7679) = 58920967 / 1
LCM(7673,7679) = 58920967

Properties of LCM 7673 and 7679

(i) The LCM of 7679 and 7673 is associative

LCM of 7673 and 7679 = LCM of 7679 and 7673

Related Least Common Multiples of 7673

Related Least Common Multiples of 7679

Frequently Asked Questions on LCM of 7673 and 7679

1. What is the LCM of 7673 and 7679?

Answer: LCM of 7673 and 7679 is 58920967.

2. What are the Factors of 7673?

Answer: Factors of 7673 are 1, 7673. There are 2 integers that are factors of 7673. The greatest factor of 7673 is 7673.

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 7673 and 7679?

Answer:

Least Common Multiple of 7673 and 7679 = 58920967

Step 1: Find the prime factorization of 7673

7673 = 7673

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 = 58920967 = 7 x 1097 x 7673

Step 4: Therefore, the least common multiple of 7673 and 7679 is 58920967.