Least Common Multiple of 4747 and 4752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4747 and 4752 the smallest integer that is 22557744 that is divisible by both numbers.

Least Common Multiple (LCM) of 4747 and 4752 is 22557744.

LCM(4747,4752) = 22557744

LCM of 4747 and 4752

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

LCM of:
and

Least Common Multiple of 4747 and 4752

LCM of 4747 and 4752 is 22557744

Least common multiple can be found by multiplying the highest exponent prime factors of 4747 and 4752. First we will calculate the prime factors of 4747 and 4752.

Prime Factorization of 4747


47 4747
101 101
1

Prime factors of 4747 are 47,101. Prime factorization of 4747 in exponential form is:

4747 = 471×1011

Prime Factorization of 4752


2 4752
2 2376
2 1188
2 594
3 297
3 99
3 33
11 11
1

Prime factors of 4752 are 2, 3,11. Prime factorization of 4752 in exponential form is:

4752 = 24×33×111

Now multiplying the highest exponent prime factors to calculate the LCM of 4747 and 4752.

LCM(4747,4752) = 24×33×111×471×1011
LCM(4747,4752) = 22557744

Factors of 4747

List of positive integer factors of 4747 that divides 4747 without a remainder.

1, 47, 101, 4747

Factors of 4752

List of positive integer factors of 4752 that divides 4752 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376, 4752

Least Common Multiple of 4747 and 4752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4747 and 4752, than apply into the LCM equation.

GCF(4747,4752) = 1
LCM(4747,4752) = ( 4747 × 4752) / 1
LCM(4747,4752) = 22557744 / 1
LCM(4747,4752) = 22557744

Properties of LCM 4747 and 4752

(i) The LCM of 4752 and 4747 is associative

LCM of 4747 and 4752 = LCM of 4752 and 4747

Related Least Common Multiples of 4747

Related Least Common Multiples of 4752

Frequently Asked Questions on LCM of 4747 and 4752

1. What is the LCM of 4747 and 4752?

Answer: LCM of 4747 and 4752 is 22557744.

2. What are the Factors of 4747?

Answer: Factors of 4747 are 1, 47, 101, 4747. There are 4 integers that are factors of 4747. The greatest factor of 4747 is 4747.

3. What are the Factors of 4752?

Answer: Factors of 4752 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 88, 99, 108, 132, 144, 176, 198, 216, 264, 297, 396, 432, 528, 594, 792, 1188, 1584, 2376, 4752. There are 40 integers that are factors of 4752. The greatest factor of 4752 is 4752.

4. How to Find the LCM of 4747 and 4752?

Answer:

Least Common Multiple of 4747 and 4752 = 22557744

Step 1: Find the prime factorization of 4747

4747 = 47 x 101

Step 2: Find the prime factorization of 4752

4752 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11

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

LCM = 22557744 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 11 x 47 x 101

Step 4: Therefore, the least common multiple of 4747 and 4752 is 22557744.