Least Common Multiple of 4671 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 4671 and 4679 the smallest integer that is 21855609 that is divisible by both numbers.

Least Common Multiple (LCM) of 4671 and 4679 is 21855609.

LCM(4671,4679) = 21855609

LCM of 4671 and 4679

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

LCM of:
and

Least Common Multiple of 4671 and 4679

LCM of 4671 and 4679 is 21855609

Least common multiple can be found by multiplying the highest exponent prime factors of 4671 and 4679. First we will calculate the prime factors of 4671 and 4679.

Prime Factorization of 4671


3 4671
3 1557
3 519
173 173
1

Prime factors of 4671 are 3,173. Prime factorization of 4671 in exponential form is:

4671 = 33×1731

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 4671 and 4679.

LCM(4671,4679) = 33×1731×46791
LCM(4671,4679) = 21855609

Factors of 4671

List of positive integer factors of 4671 that divides 4671 without a remainder.

1, 3, 9, 27, 173, 519, 1557, 4671

Factors of 4679

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

1, 4679

Least Common Multiple of 4671 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 4671 and 4679, than apply into the LCM equation.

GCF(4671,4679) = 1
LCM(4671,4679) = ( 4671 × 4679) / 1
LCM(4671,4679) = 21855609 / 1
LCM(4671,4679) = 21855609

Properties of LCM 4671 and 4679

(i) The LCM of 4679 and 4671 is associative

LCM of 4671 and 4679 = LCM of 4679 and 4671

Related Least Common Multiples of 4671

Related Least Common Multiples of 4679

Frequently Asked Questions on LCM of 4671 and 4679

1. What is the LCM of 4671 and 4679?

Answer: LCM of 4671 and 4679 is 21855609.

2. What are the Factors of 4671?

Answer: Factors of 4671 are 1, 3, 9, 27, 173, 519, 1557, 4671. There are 8 integers that are factors of 4671. The greatest factor of 4671 is 4671.

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 4671 and 4679?

Answer:

Least Common Multiple of 4671 and 4679 = 21855609

Step 1: Find the prime factorization of 4671

4671 = 3 x 3 x 3 x 173

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 = 21855609 = 3 x 3 x 3 x 173 x 4679

Step 4: Therefore, the least common multiple of 4671 and 4679 is 21855609.