Least Common Multiple of 4731 and 4738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4731 and 4738 the smallest integer that is 22415478 that is divisible by both numbers.

Least Common Multiple (LCM) of 4731 and 4738 is 22415478.

LCM(4731,4738) = 22415478

LCM of 4731 and 4738

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

LCM of:
and

Least Common Multiple of 4731 and 4738

LCM of 4731 and 4738 is 22415478

Least common multiple can be found by multiplying the highest exponent prime factors of 4731 and 4738. First we will calculate the prime factors of 4731 and 4738.

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

Prime Factorization of 4738


2 4738
23 2369
103 103
1

Prime factors of 4738 are 2, 23,103. Prime factorization of 4738 in exponential form is:

4738 = 21×231×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 4731 and 4738.

LCM(4731,4738) = 21×31×191×231×831×1031
LCM(4731,4738) = 22415478

Factors of 4731

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

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

Factors of 4738

List of positive integer factors of 4738 that divides 4738 without a remainder.

1, 2, 23, 46, 103, 206, 2369, 4738

Least Common Multiple of 4731 and 4738 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4731 and 4738, than apply into the LCM equation.

GCF(4731,4738) = 1
LCM(4731,4738) = ( 4731 × 4738) / 1
LCM(4731,4738) = 22415478 / 1
LCM(4731,4738) = 22415478

Properties of LCM 4731 and 4738

(i) The LCM of 4738 and 4731 is associative

LCM of 4731 and 4738 = LCM of 4738 and 4731

Related Least Common Multiples of 4731

Related Least Common Multiples of 4738

Frequently Asked Questions on LCM of 4731 and 4738

1. What is the LCM of 4731 and 4738?

Answer: LCM of 4731 and 4738 is 22415478.

2. 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.

3. What are the Factors of 4738?

Answer: Factors of 4738 are 1, 2, 23, 46, 103, 206, 2369, 4738. There are 8 integers that are factors of 4738. The greatest factor of 4738 is 4738.

4. How to Find the LCM of 4731 and 4738?

Answer:

Least Common Multiple of 4731 and 4738 = 22415478

Step 1: Find the prime factorization of 4731

4731 = 3 x 19 x 83

Step 2: Find the prime factorization of 4738

4738 = 2 x 23 x 103

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

LCM = 22415478 = 2 x 3 x 19 x 23 x 83 x 103

Step 4: Therefore, the least common multiple of 4731 and 4738 is 22415478.