Least Common Multiple of 4738 and 4746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4738 and 4746 the smallest integer that is 11243274 that is divisible by both numbers.

Least Common Multiple (LCM) of 4738 and 4746 is 11243274.

LCM(4738,4746) = 11243274

LCM of 4738 and 4746

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

LCM of:
and

Least Common Multiple of 4738 and 4746

LCM of 4738 and 4746 is 11243274

Least common multiple can be found by multiplying the highest exponent prime factors of 4738 and 4746. First we will calculate the prime factors of 4738 and 4746.

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

Prime Factorization of 4746


2 4746
3 2373
7 791
113 113
1

Prime factors of 4746 are 2, 3, 7,113. Prime factorization of 4746 in exponential form is:

4746 = 21×31×71×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 4738 and 4746.

LCM(4738,4746) = 21×31×71×231×1031×1131
LCM(4738,4746) = 11243274

Factors of 4738

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

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

Factors of 4746

List of positive integer factors of 4746 that divides 4746 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373, 4746

Least Common Multiple of 4738 and 4746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4738 and 4746, than apply into the LCM equation.

GCF(4738,4746) = 2
LCM(4738,4746) = ( 4738 × 4746) / 2
LCM(4738,4746) = 22486548 / 2
LCM(4738,4746) = 11243274

Properties of LCM 4738 and 4746

(i) The LCM of 4746 and 4738 is associative

LCM of 4738 and 4746 = LCM of 4746 and 4738

Related Least Common Multiples of 4738

Related Least Common Multiples of 4746

Frequently Asked Questions on LCM of 4738 and 4746

1. What is the LCM of 4738 and 4746?

Answer: LCM of 4738 and 4746 is 11243274.

2. 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.

3. What are the Factors of 4746?

Answer: Factors of 4746 are 1, 2, 3, 6, 7, 14, 21, 42, 113, 226, 339, 678, 791, 1582, 2373, 4746. There are 16 integers that are factors of 4746. The greatest factor of 4746 is 4746.

4. How to Find the LCM of 4738 and 4746?

Answer:

Least Common Multiple of 4738 and 4746 = 11243274

Step 1: Find the prime factorization of 4738

4738 = 2 x 23 x 103

Step 2: Find the prime factorization of 4746

4746 = 2 x 3 x 7 x 113

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

LCM = 11243274 = 2 x 3 x 7 x 23 x 103 x 113

Step 4: Therefore, the least common multiple of 4738 and 4746 is 11243274.