Least Common Multiple of 4713 and 4715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4713 and 4715 the smallest integer that is 22221795 that is divisible by both numbers.

Least Common Multiple (LCM) of 4713 and 4715 is 22221795.

LCM(4713,4715) = 22221795

LCM of 4713 and 4715

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

LCM of:
and

Least Common Multiple of 4713 and 4715

LCM of 4713 and 4715 is 22221795

Least common multiple can be found by multiplying the highest exponent prime factors of 4713 and 4715. First we will calculate the prime factors of 4713 and 4715.

Prime Factorization of 4713


3 4713
1571 1571
1

Prime factors of 4713 are 3,1571. Prime factorization of 4713 in exponential form is:

4713 = 31×15711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4713 and 4715.

LCM(4713,4715) = 31×51×231×411×15711
LCM(4713,4715) = 22221795

Factors of 4713

List of positive integer factors of 4713 that divides 4713 without a remainder.

1, 3, 1571, 4713

Factors of 4715

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

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

Least Common Multiple of 4713 and 4715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4713 and 4715, than apply into the LCM equation.

GCF(4713,4715) = 1
LCM(4713,4715) = ( 4713 × 4715) / 1
LCM(4713,4715) = 22221795 / 1
LCM(4713,4715) = 22221795

Properties of LCM 4713 and 4715

(i) The LCM of 4715 and 4713 is associative

LCM of 4713 and 4715 = LCM of 4715 and 4713

Related Least Common Multiples of 4713

Related Least Common Multiples of 4715

Frequently Asked Questions on LCM of 4713 and 4715

1. What is the LCM of 4713 and 4715?

Answer: LCM of 4713 and 4715 is 22221795.

2. What are the Factors of 4713?

Answer: Factors of 4713 are 1, 3, 1571, 4713. There are 4 integers that are factors of 4713. The greatest factor of 4713 is 4713.

3. 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.

4. How to Find the LCM of 4713 and 4715?

Answer:

Least Common Multiple of 4713 and 4715 = 22221795

Step 1: Find the prime factorization of 4713

4713 = 3 x 1571

Step 2: Find the prime factorization of 4715

4715 = 5 x 23 x 41

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

LCM = 22221795 = 3 x 5 x 23 x 41 x 1571

Step 4: Therefore, the least common multiple of 4713 and 4715 is 22221795.