Least Common Multiple of 4725 and 4729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4725 and 4729 the smallest integer that is 22344525 that is divisible by both numbers.

Least Common Multiple (LCM) of 4725 and 4729 is 22344525.

LCM(4725,4729) = 22344525

LCM of 4725 and 4729

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

LCM of:
and

Least Common Multiple of 4725 and 4729

LCM of 4725 and 4729 is 22344525

Least common multiple can be found by multiplying the highest exponent prime factors of 4725 and 4729. First we will calculate the prime factors of 4725 and 4729.

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

Prime Factorization of 4729


4729 4729
1

Prime factors of 4729 are 4729. Prime factorization of 4729 in exponential form is:

4729 = 47291

Now multiplying the highest exponent prime factors to calculate the LCM of 4725 and 4729.

LCM(4725,4729) = 33×52×71×47291
LCM(4725,4729) = 22344525

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

Factors of 4729

List of positive integer factors of 4729 that divides 4729 without a remainder.

1, 4729

Least Common Multiple of 4725 and 4729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4725 and 4729, than apply into the LCM equation.

GCF(4725,4729) = 1
LCM(4725,4729) = ( 4725 × 4729) / 1
LCM(4725,4729) = 22344525 / 1
LCM(4725,4729) = 22344525

Properties of LCM 4725 and 4729

(i) The LCM of 4729 and 4725 is associative

LCM of 4725 and 4729 = LCM of 4729 and 4725

Related Least Common Multiples of 4725

Related Least Common Multiples of 4729

Frequently Asked Questions on LCM of 4725 and 4729

1. What is the LCM of 4725 and 4729?

Answer: LCM of 4725 and 4729 is 22344525.

2. 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.

3. What are the Factors of 4729?

Answer: Factors of 4729 are 1, 4729. There are 2 integers that are factors of 4729. The greatest factor of 4729 is 4729.

4. How to Find the LCM of 4725 and 4729?

Answer:

Least Common Multiple of 4725 and 4729 = 22344525

Step 1: Find the prime factorization of 4725

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

Step 2: Find the prime factorization of 4729

4729 = 4729

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

LCM = 22344525 = 3 x 3 x 3 x 5 x 5 x 7 x 4729

Step 4: Therefore, the least common multiple of 4725 and 4729 is 22344525.