Least Common Multiple of 4725 and 4731

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 4731 the smallest integer that is 7451325 that is divisible by both numbers.

Least Common Multiple (LCM) of 4725 and 4731 is 7451325.

LCM(4725,4731) = 7451325

LCM of 4725 and 4731

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

LCM of:
and

Least Common Multiple of 4725 and 4731

LCM of 4725 and 4731 is 7451325

Least common multiple can be found by multiplying the highest exponent prime factors of 4725 and 4731. First we will calculate the prime factors of 4725 and 4731.

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 4731


3 4731
19 1577
83 83
1

Prime factors of 4731 are 3, 19,83. Prime factorization of 4731 in exponential form is:

4731 = 31×191×831

Now multiplying the highest exponent prime factors to calculate the LCM of 4725 and 4731.

LCM(4725,4731) = 33×52×71×191×831
LCM(4725,4731) = 7451325

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 4731

List of positive integer factors of 4731 that divides 4731 without a remainder.

1, 3, 19, 57, 83, 249, 1577, 4731

Least Common Multiple of 4725 and 4731 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 4731, than apply into the LCM equation.

GCF(4725,4731) = 3
LCM(4725,4731) = ( 4725 × 4731) / 3
LCM(4725,4731) = 22353975 / 3
LCM(4725,4731) = 7451325

Properties of LCM 4725 and 4731

(i) The LCM of 4731 and 4725 is associative

LCM of 4725 and 4731 = LCM of 4731 and 4725

Related Least Common Multiples of 4725

Related Least Common Multiples of 4731

Frequently Asked Questions on LCM of 4725 and 4731

1. What is the LCM of 4725 and 4731?

Answer: LCM of 4725 and 4731 is 7451325.

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 4731?

Answer: Factors of 4731 are 1, 3, 19, 57, 83, 249, 1577, 4731. There are 8 integers that are factors of 4731. The greatest factor of 4731 is 4731.

4. How to Find the LCM of 4725 and 4731?

Answer:

Least Common Multiple of 4725 and 4731 = 7451325

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 4731

4731 = 3 x 19 x 83

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

LCM = 7451325 = 3 x 3 x 3 x 5 x 5 x 7 x 19 x 83

Step 4: Therefore, the least common multiple of 4725 and 4731 is 7451325.