Least Common Multiple of 4715 and 4721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4715 and 4721 the smallest integer that is 22259515 that is divisible by both numbers.

Least Common Multiple (LCM) of 4715 and 4721 is 22259515.

LCM(4715,4721) = 22259515

LCM of 4715 and 4721

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

LCM of:
and

Least Common Multiple of 4715 and 4721

LCM of 4715 and 4721 is 22259515

Least common multiple can be found by multiplying the highest exponent prime factors of 4715 and 4721. First we will calculate the prime factors of 4715 and 4721.

Prime Factorization of 4715


5 4715
23 943
41 41
1

Prime factors of 4715 are 5, 23,41. Prime factorization of 4715 in exponential form is:

4715 = 51×231×411

Prime Factorization of 4721


4721 4721
1

Prime factors of 4721 are 4721. Prime factorization of 4721 in exponential form is:

4721 = 47211

Now multiplying the highest exponent prime factors to calculate the LCM of 4715 and 4721.

LCM(4715,4721) = 51×231×411×47211
LCM(4715,4721) = 22259515

Factors of 4715

List of positive integer factors of 4715 that divides 4715 without a remainder.

1, 5, 23, 41, 115, 205, 943, 4715

Factors of 4721

List of positive integer factors of 4721 that divides 4721 without a remainder.

1, 4721

Least Common Multiple of 4715 and 4721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4715 and 4721, than apply into the LCM equation.

GCF(4715,4721) = 1
LCM(4715,4721) = ( 4715 × 4721) / 1
LCM(4715,4721) = 22259515 / 1
LCM(4715,4721) = 22259515

Properties of LCM 4715 and 4721

(i) The LCM of 4721 and 4715 is associative

LCM of 4715 and 4721 = LCM of 4721 and 4715

Related Least Common Multiples of 4715

Related Least Common Multiples of 4721

Frequently Asked Questions on LCM of 4715 and 4721

1. What is the LCM of 4715 and 4721?

Answer: LCM of 4715 and 4721 is 22259515.

2. What are the Factors of 4715?

Answer: Factors of 4715 are 1, 5, 23, 41, 115, 205, 943, 4715. There are 8 integers that are factors of 4715. The greatest factor of 4715 is 4715.

3. What are the Factors of 4721?

Answer: Factors of 4721 are 1, 4721. There are 2 integers that are factors of 4721. The greatest factor of 4721 is 4721.

4. How to Find the LCM of 4715 and 4721?

Answer:

Least Common Multiple of 4715 and 4721 = 22259515

Step 1: Find the prime factorization of 4715

4715 = 5 x 23 x 41

Step 2: Find the prime factorization of 4721

4721 = 4721

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

LCM = 22259515 = 5 x 23 x 41 x 4721

Step 4: Therefore, the least common multiple of 4715 and 4721 is 22259515.