Least Common Multiple of 4673 and 4679

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 4673 and 4679 the smallest integer that is 21864967 that is divisible by both numbers.

Least Common Multiple (LCM) of 4673 and 4679 is 21864967.

LCM(4673,4679) = 21864967

LCM of 4673 and 4679

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

LCM of:
and

Least Common Multiple of 4673 and 4679

LCM of 4673 and 4679 is 21864967

Least common multiple can be found by multiplying the highest exponent prime factors of 4673 and 4679. First we will calculate the prime factors of 4673 and 4679.

Prime Factorization of 4673


4673 4673
1

Prime factors of 4673 are 4673. Prime factorization of 4673 in exponential form is:

4673 = 46731

Prime Factorization of 4679


4679 4679
1

Prime factors of 4679 are 4679. Prime factorization of 4679 in exponential form is:

4679 = 46791

Now multiplying the highest exponent prime factors to calculate the LCM of 4673 and 4679.

LCM(4673,4679) = 46731×46791
LCM(4673,4679) = 21864967

Factors of 4673

List of positive integer factors of 4673 that divides 4673 without a remainder.

1, 4673

Factors of 4679

List of positive integer factors of 4679 that divides 4679 without a remainder.

1, 4679

Least Common Multiple of 4673 and 4679 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4673 and 4679, than apply into the LCM equation.

GCF(4673,4679) = 1
LCM(4673,4679) = ( 4673 × 4679) / 1
LCM(4673,4679) = 21864967 / 1
LCM(4673,4679) = 21864967

Properties of LCM 4673 and 4679

(i) The LCM of 4679 and 4673 is associative

LCM of 4673 and 4679 = LCM of 4679 and 4673

Frequently Asked Questions on LCM of 4673 and 4679

1. What is the LCM of 4673 and 4679?

Answer: LCM of 4673 and 4679 is 21864967.

2. What are the Factors of 4673?

Answer: Factors of 4673 are 1, 4673. There are 2 integers that are factors of 4673. The greatest factor of 4673 is 4673.

3. What are the Factors of 4679?

Answer: Factors of 4679 are 1, 4679. There are 2 integers that are factors of 4679. The greatest factor of 4679 is 4679.

4. How to Find the LCM of 4673 and 4679?

Answer:

Least Common Multiple of 4673 and 4679 = 21864967

Step 1: Find the prime factorization of 4673

4673 = 4673

Step 2: Find the prime factorization of 4679

4679 = 4679

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

LCM = 21864967 = 4673 x 4679

Step 4: Therefore, the least common multiple of 4673 and 4679 is 21864967.