Least Common Multiple of 4734 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 4734 and 4738 the smallest integer that is 11214846 that is divisible by both numbers.

Least Common Multiple (LCM) of 4734 and 4738 is 11214846.

LCM(4734,4738) = 11214846

LCM of 4734 and 4738

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

LCM of:
and

Least Common Multiple of 4734 and 4738

LCM of 4734 and 4738 is 11214846

Least common multiple can be found by multiplying the highest exponent prime factors of 4734 and 4738. First we will calculate the prime factors of 4734 and 4738.

Prime Factorization of 4734


2 4734
3 2367
3 789
263 263
1

Prime factors of 4734 are 2, 3,263. Prime factorization of 4734 in exponential form is:

4734 = 21×32×2631

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 4734 and 4738.

LCM(4734,4738) = 21×32×231×1031×2631
LCM(4734,4738) = 11214846

Factors of 4734

List of positive integer factors of 4734 that divides 4734 without a remainder.

1, 2, 3, 6, 9, 18, 263, 526, 789, 1578, 2367, 4734

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 4734 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 4734 and 4738, than apply into the LCM equation.

GCF(4734,4738) = 2
LCM(4734,4738) = ( 4734 × 4738) / 2
LCM(4734,4738) = 22429692 / 2
LCM(4734,4738) = 11214846

Properties of LCM 4734 and 4738

(i) The LCM of 4738 and 4734 is associative

LCM of 4734 and 4738 = LCM of 4738 and 4734

Related Least Common Multiples of 4734

Related Least Common Multiples of 4738

Frequently Asked Questions on LCM of 4734 and 4738

1. What is the LCM of 4734 and 4738?

Answer: LCM of 4734 and 4738 is 11214846.

2. What are the Factors of 4734?

Answer: Factors of 4734 are 1, 2, 3, 6, 9, 18, 263, 526, 789, 1578, 2367, 4734. There are 12 integers that are factors of 4734. The greatest factor of 4734 is 4734.

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 4734 and 4738?

Answer:

Least Common Multiple of 4734 and 4738 = 11214846

Step 1: Find the prime factorization of 4734

4734 = 2 x 3 x 3 x 263

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 = 11214846 = 2 x 3 x 3 x 23 x 103 x 263

Step 4: Therefore, the least common multiple of 4734 and 4738 is 11214846.