Least Common Multiple of 4719 and 4725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4719 and 4725 the smallest integer that is 7432425 that is divisible by both numbers.

Least Common Multiple (LCM) of 4719 and 4725 is 7432425.

LCM(4719,4725) = 7432425

LCM of 4719 and 4725

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

LCM of:
and

Least Common Multiple of 4719 and 4725

LCM of 4719 and 4725 is 7432425

Least common multiple can be found by multiplying the highest exponent prime factors of 4719 and 4725. First we will calculate the prime factors of 4719 and 4725.

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

Prime Factorization of 4725


3 4725
3 1575
3 525
5 175
5 35
7 7
1

Prime factors of 4725 are 3, 5,7. Prime factorization of 4725 in exponential form is:

4725 = 33×52×71

Now multiplying the highest exponent prime factors to calculate the LCM of 4719 and 4725.

LCM(4719,4725) = 33×52×71×112×131
LCM(4719,4725) = 7432425

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

Factors of 4725

List of positive integer factors of 4725 that divides 4725 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, 4725

Least Common Multiple of 4719 and 4725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4719 and 4725, than apply into the LCM equation.

GCF(4719,4725) = 3
LCM(4719,4725) = ( 4719 × 4725) / 3
LCM(4719,4725) = 22297275 / 3
LCM(4719,4725) = 7432425

Properties of LCM 4719 and 4725

(i) The LCM of 4725 and 4719 is associative

LCM of 4719 and 4725 = LCM of 4725 and 4719

Related Least Common Multiples of 4719

Related Least Common Multiples of 4725

Frequently Asked Questions on LCM of 4719 and 4725

1. What is the LCM of 4719 and 4725?

Answer: LCM of 4719 and 4725 is 7432425.

2. 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.

3. What are the Factors of 4725?

Answer: Factors of 4725 are 1, 3, 5, 7, 9, 15, 21, 25, 27, 35, 45, 63, 75, 105, 135, 175, 189, 225, 315, 525, 675, 945, 1575, 4725. There are 24 integers that are factors of 4725. The greatest factor of 4725 is 4725.

4. How to Find the LCM of 4719 and 4725?

Answer:

Least Common Multiple of 4719 and 4725 = 7432425

Step 1: Find the prime factorization of 4719

4719 = 3 x 11 x 11 x 13

Step 2: Find the prime factorization of 4725

4725 = 3 x 3 x 3 x 5 x 5 x 7

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

LCM = 7432425 = 3 x 3 x 3 x 5 x 5 x 7 x 11 x 11 x 13

Step 4: Therefore, the least common multiple of 4719 and 4725 is 7432425.