Least Common Multiple of 4746 and 4751

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 4751 the smallest integer that is 22548246 that is divisible by both numbers.

Least Common Multiple (LCM) of 4746 and 4751 is 22548246.

LCM(4746,4751) = 22548246

LCM of 4746 and 4751

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

LCM of:
and

Least Common Multiple of 4746 and 4751

LCM of 4746 and 4751 is 22548246

Least common multiple can be found by multiplying the highest exponent prime factors of 4746 and 4751. First we will calculate the prime factors of 4746 and 4751.

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 4751


4751 4751
1

Prime factors of 4751 are 4751. Prime factorization of 4751 in exponential form is:

4751 = 47511

Now multiplying the highest exponent prime factors to calculate the LCM of 4746 and 4751.

LCM(4746,4751) = 21×31×71×1131×47511
LCM(4746,4751) = 22548246

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 4751

List of positive integer factors of 4751 that divides 4751 without a remainder.

1, 4751

Least Common Multiple of 4746 and 4751 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 4751, than apply into the LCM equation.

GCF(4746,4751) = 1
LCM(4746,4751) = ( 4746 × 4751) / 1
LCM(4746,4751) = 22548246 / 1
LCM(4746,4751) = 22548246

Properties of LCM 4746 and 4751

(i) The LCM of 4751 and 4746 is associative

LCM of 4746 and 4751 = LCM of 4751 and 4746

Related Least Common Multiples of 4746

Related Least Common Multiples of 4751

Frequently Asked Questions on LCM of 4746 and 4751

1. What is the LCM of 4746 and 4751?

Answer: LCM of 4746 and 4751 is 22548246.

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 4751?

Answer: Factors of 4751 are 1, 4751. There are 2 integers that are factors of 4751. The greatest factor of 4751 is 4751.

4. How to Find the LCM of 4746 and 4751?

Answer:

Least Common Multiple of 4746 and 4751 = 22548246

Step 1: Find the prime factorization of 4746

4746 = 2 x 3 x 7 x 113

Step 2: Find the prime factorization of 4751

4751 = 4751

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

LCM = 22548246 = 2 x 3 x 7 x 113 x 4751

Step 4: Therefore, the least common multiple of 4746 and 4751 is 22548246.