Least Common Multiple of 4739 and 4747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4739 and 4747 the smallest integer that is 22496033 that is divisible by both numbers.

Least Common Multiple (LCM) of 4739 and 4747 is 22496033.

LCM(4739,4747) = 22496033

LCM of 4739 and 4747

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

LCM of:
and

Least Common Multiple of 4739 and 4747

LCM of 4739 and 4747 is 22496033

Least common multiple can be found by multiplying the highest exponent prime factors of 4739 and 4747. First we will calculate the prime factors of 4739 and 4747.

Prime Factorization of 4739


7 4739
677 677
1

Prime factors of 4739 are 7,677. Prime factorization of 4739 in exponential form is:

4739 = 71×6771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4739 and 4747.

LCM(4739,4747) = 71×471×1011×6771
LCM(4739,4747) = 22496033

Factors of 4739

List of positive integer factors of 4739 that divides 4739 without a remainder.

1, 7, 677, 4739

Factors of 4747

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

1, 47, 101, 4747

Least Common Multiple of 4739 and 4747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4739 and 4747, than apply into the LCM equation.

GCF(4739,4747) = 1
LCM(4739,4747) = ( 4739 × 4747) / 1
LCM(4739,4747) = 22496033 / 1
LCM(4739,4747) = 22496033

Properties of LCM 4739 and 4747

(i) The LCM of 4747 and 4739 is associative

LCM of 4739 and 4747 = LCM of 4747 and 4739

Related Least Common Multiples of 4739

Related Least Common Multiples of 4747

Frequently Asked Questions on LCM of 4739 and 4747

1. What is the LCM of 4739 and 4747?

Answer: LCM of 4739 and 4747 is 22496033.

2. What are the Factors of 4739?

Answer: Factors of 4739 are 1, 7, 677, 4739. There are 4 integers that are factors of 4739. The greatest factor of 4739 is 4739.

3. 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.

4. How to Find the LCM of 4739 and 4747?

Answer:

Least Common Multiple of 4739 and 4747 = 22496033

Step 1: Find the prime factorization of 4739

4739 = 7 x 677

Step 2: Find the prime factorization of 4747

4747 = 47 x 101

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

LCM = 22496033 = 7 x 47 x 101 x 677

Step 4: Therefore, the least common multiple of 4739 and 4747 is 22496033.