Least Common Multiple of 4713 and 4719

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 4719 the smallest integer that is 7413549 that is divisible by both numbers.

Least Common Multiple (LCM) of 4713 and 4719 is 7413549.

LCM(4713,4719) = 7413549

LCM of 4713 and 4719

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

LCM of:
and

Least Common Multiple of 4713 and 4719

LCM of 4713 and 4719 is 7413549

Least common multiple can be found by multiplying the highest exponent prime factors of 4713 and 4719. First we will calculate the prime factors of 4713 and 4719.

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 4719


3 4719
11 1573
11 143
13 13
1

Prime factors of 4719 are 3, 11,13. Prime factorization of 4719 in exponential form is:

4719 = 31×112×131

Now multiplying the highest exponent prime factors to calculate the LCM of 4713 and 4719.

LCM(4713,4719) = 31×112×131×15711
LCM(4713,4719) = 7413549

Factors of 4713

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

1, 3, 1571, 4713

Factors of 4719

List of positive integer factors of 4719 that divides 4719 without a remainder.

1, 3, 11, 13, 33, 39, 121, 143, 363, 429, 1573, 4719

Least Common Multiple of 4713 and 4719 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 4719, than apply into the LCM equation.

GCF(4713,4719) = 3
LCM(4713,4719) = ( 4713 × 4719) / 3
LCM(4713,4719) = 22240647 / 3
LCM(4713,4719) = 7413549

Properties of LCM 4713 and 4719

(i) The LCM of 4719 and 4713 is associative

LCM of 4713 and 4719 = LCM of 4719 and 4713

Related Least Common Multiples of 4713

Related Least Common Multiples of 4719

Frequently Asked Questions on LCM of 4713 and 4719

1. What is the LCM of 4713 and 4719?

Answer: LCM of 4713 and 4719 is 7413549.

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 4719?

Answer: Factors of 4719 are 1, 3, 11, 13, 33, 39, 121, 143, 363, 429, 1573, 4719. There are 12 integers that are factors of 4719. The greatest factor of 4719 is 4719.

4. How to Find the LCM of 4713 and 4719?

Answer:

Least Common Multiple of 4713 and 4719 = 7413549

Step 1: Find the prime factorization of 4713

4713 = 3 x 1571

Step 2: Find the prime factorization of 4719

4719 = 3 x 11 x 11 x 13

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

LCM = 7413549 = 3 x 11 x 11 x 13 x 1571

Step 4: Therefore, the least common multiple of 4713 and 4719 is 7413549.