Least Common Multiple of 4747 and 4755

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 4755 the smallest integer that is 22571985 that is divisible by both numbers.

Least Common Multiple (LCM) of 4747 and 4755 is 22571985.

LCM(4747,4755) = 22571985

LCM of 4747 and 4755

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

LCM of:
and

Least Common Multiple of 4747 and 4755

LCM of 4747 and 4755 is 22571985

Least common multiple can be found by multiplying the highest exponent prime factors of 4747 and 4755. First we will calculate the prime factors of 4747 and 4755.

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 4755


3 4755
5 1585
317 317
1

Prime factors of 4755 are 3, 5,317. Prime factorization of 4755 in exponential form is:

4755 = 31×51×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 4747 and 4755.

LCM(4747,4755) = 31×51×471×1011×3171
LCM(4747,4755) = 22571985

Factors of 4747

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

1, 47, 101, 4747

Factors of 4755

List of positive integer factors of 4755 that divides 4755 without a remainder.

1, 3, 5, 15, 317, 951, 1585, 4755

Least Common Multiple of 4747 and 4755 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 4755, than apply into the LCM equation.

GCF(4747,4755) = 1
LCM(4747,4755) = ( 4747 × 4755) / 1
LCM(4747,4755) = 22571985 / 1
LCM(4747,4755) = 22571985

Properties of LCM 4747 and 4755

(i) The LCM of 4755 and 4747 is associative

LCM of 4747 and 4755 = LCM of 4755 and 4747

Related Least Common Multiples of 4747

Related Least Common Multiples of 4755

Frequently Asked Questions on LCM of 4747 and 4755

1. What is the LCM of 4747 and 4755?

Answer: LCM of 4747 and 4755 is 22571985.

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 4755?

Answer: Factors of 4755 are 1, 3, 5, 15, 317, 951, 1585, 4755. There are 8 integers that are factors of 4755. The greatest factor of 4755 is 4755.

4. How to Find the LCM of 4747 and 4755?

Answer:

Least Common Multiple of 4747 and 4755 = 22571985

Step 1: Find the prime factorization of 4747

4747 = 47 x 101

Step 2: Find the prime factorization of 4755

4755 = 3 x 5 x 317

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

LCM = 22571985 = 3 x 5 x 47 x 101 x 317

Step 4: Therefore, the least common multiple of 4747 and 4755 is 22571985.