Least Common Multiple of 4675 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 4675 and 4679 the smallest integer that is 21874325 that is divisible by both numbers.

Least Common Multiple (LCM) of 4675 and 4679 is 21874325.

LCM(4675,4679) = 21874325

LCM of 4675 and 4679

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

LCM of:
and

Least Common Multiple of 4675 and 4679

LCM of 4675 and 4679 is 21874325

Least common multiple can be found by multiplying the highest exponent prime factors of 4675 and 4679. First we will calculate the prime factors of 4675 and 4679.

Prime Factorization of 4675


5 4675
5 935
11 187
17 17
1

Prime factors of 4675 are 5, 11,17. Prime factorization of 4675 in exponential form is:

4675 = 52×111×171

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 4675 and 4679.

LCM(4675,4679) = 52×111×171×46791
LCM(4675,4679) = 21874325

Factors of 4675

List of positive integer factors of 4675 that divides 4675 without a remainder.

1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675

Factors of 4679

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

1, 4679

Least Common Multiple of 4675 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 4675 and 4679, than apply into the LCM equation.

GCF(4675,4679) = 1
LCM(4675,4679) = ( 4675 × 4679) / 1
LCM(4675,4679) = 21874325 / 1
LCM(4675,4679) = 21874325

Properties of LCM 4675 and 4679

(i) The LCM of 4679 and 4675 is associative

LCM of 4675 and 4679 = LCM of 4679 and 4675

Related Least Common Multiples of 4675

Related Least Common Multiples of 4679

Frequently Asked Questions on LCM of 4675 and 4679

1. What is the LCM of 4675 and 4679?

Answer: LCM of 4675 and 4679 is 21874325.

2. What are the Factors of 4675?

Answer: Factors of 4675 are 1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675. There are 12 integers that are factors of 4675. The greatest factor of 4675 is 4675.

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 4675 and 4679?

Answer:

Least Common Multiple of 4675 and 4679 = 21874325

Step 1: Find the prime factorization of 4675

4675 = 5 x 5 x 11 x 17

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 = 21874325 = 5 x 5 x 11 x 17 x 4679

Step 4: Therefore, the least common multiple of 4675 and 4679 is 21874325.