Least Common Multiple of 4715 and 4723

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 4723 the smallest integer that is 22268945 that is divisible by both numbers.

Least Common Multiple (LCM) of 4715 and 4723 is 22268945.

LCM(4715,4723) = 22268945

LCM of 4715 and 4723

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

LCM of:
and

Least Common Multiple of 4715 and 4723

LCM of 4715 and 4723 is 22268945

Least common multiple can be found by multiplying the highest exponent prime factors of 4715 and 4723. First we will calculate the prime factors of 4715 and 4723.

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 4723


4723 4723
1

Prime factors of 4723 are 4723. Prime factorization of 4723 in exponential form is:

4723 = 47231

Now multiplying the highest exponent prime factors to calculate the LCM of 4715 and 4723.

LCM(4715,4723) = 51×231×411×47231
LCM(4715,4723) = 22268945

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 4723

List of positive integer factors of 4723 that divides 4723 without a remainder.

1, 4723

Least Common Multiple of 4715 and 4723 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 4723, than apply into the LCM equation.

GCF(4715,4723) = 1
LCM(4715,4723) = ( 4715 × 4723) / 1
LCM(4715,4723) = 22268945 / 1
LCM(4715,4723) = 22268945

Properties of LCM 4715 and 4723

(i) The LCM of 4723 and 4715 is associative

LCM of 4715 and 4723 = LCM of 4723 and 4715

Related Least Common Multiples of 4715

Related Least Common Multiples of 4723

Frequently Asked Questions on LCM of 4715 and 4723

1. What is the LCM of 4715 and 4723?

Answer: LCM of 4715 and 4723 is 22268945.

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 4723?

Answer: Factors of 4723 are 1, 4723. There are 2 integers that are factors of 4723. The greatest factor of 4723 is 4723.

4. How to Find the LCM of 4715 and 4723?

Answer:

Least Common Multiple of 4715 and 4723 = 22268945

Step 1: Find the prime factorization of 4715

4715 = 5 x 23 x 41

Step 2: Find the prime factorization of 4723

4723 = 4723

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

LCM = 22268945 = 5 x 23 x 41 x 4723

Step 4: Therefore, the least common multiple of 4715 and 4723 is 22268945.