Least Common Multiple of 4746 and 4754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4746 and 4754 the smallest integer that is 11281242 that is divisible by both numbers.

Least Common Multiple (LCM) of 4746 and 4754 is 11281242.

LCM(4746,4754) = 11281242

LCM of 4746 and 4754

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

LCM of:
and

Least Common Multiple of 4746 and 4754

LCM of 4746 and 4754 is 11281242

Least common multiple can be found by multiplying the highest exponent prime factors of 4746 and 4754. First we will calculate the prime factors of 4746 and 4754.

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

Prime Factorization of 4754


2 4754
2377 2377
1

Prime factors of 4754 are 2,2377. Prime factorization of 4754 in exponential form is:

4754 = 21×23771

Now multiplying the highest exponent prime factors to calculate the LCM of 4746 and 4754.

LCM(4746,4754) = 21×31×71×1131×23771
LCM(4746,4754) = 11281242

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

Factors of 4754

List of positive integer factors of 4754 that divides 4754 without a remainder.

1, 2, 2377, 4754

Least Common Multiple of 4746 and 4754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4746 and 4754, than apply into the LCM equation.

GCF(4746,4754) = 2
LCM(4746,4754) = ( 4746 × 4754) / 2
LCM(4746,4754) = 22562484 / 2
LCM(4746,4754) = 11281242

Properties of LCM 4746 and 4754

(i) The LCM of 4754 and 4746 is associative

LCM of 4746 and 4754 = LCM of 4754 and 4746

Related Least Common Multiples of 4746

Related Least Common Multiples of 4754

Frequently Asked Questions on LCM of 4746 and 4754

1. What is the LCM of 4746 and 4754?

Answer: LCM of 4746 and 4754 is 11281242.

2. 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.

3. What are the Factors of 4754?

Answer: Factors of 4754 are 1, 2, 2377, 4754. There are 4 integers that are factors of 4754. The greatest factor of 4754 is 4754.

4. How to Find the LCM of 4746 and 4754?

Answer:

Least Common Multiple of 4746 and 4754 = 11281242

Step 1: Find the prime factorization of 4746

4746 = 2 x 3 x 7 x 113

Step 2: Find the prime factorization of 4754

4754 = 2 x 2377

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

LCM = 11281242 = 2 x 3 x 7 x 113 x 2377

Step 4: Therefore, the least common multiple of 4746 and 4754 is 11281242.