Least Common Multiple of 4736 and 4739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4736 and 4739 the smallest integer that is 22443904 that is divisible by both numbers.

Least Common Multiple (LCM) of 4736 and 4739 is 22443904.

LCM(4736,4739) = 22443904

LCM of 4736 and 4739

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

LCM of:
and

Least Common Multiple of 4736 and 4739

LCM of 4736 and 4739 is 22443904

Least common multiple can be found by multiplying the highest exponent prime factors of 4736 and 4739. First we will calculate the prime factors of 4736 and 4739.

Prime Factorization of 4736


2 4736
2 2368
2 1184
2 592
2 296
2 148
2 74
37 37
1

Prime factors of 4736 are 2,37. Prime factorization of 4736 in exponential form is:

4736 = 27×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4736 and 4739.

LCM(4736,4739) = 27×71×371×6771
LCM(4736,4739) = 22443904

Factors of 4736

List of positive integer factors of 4736 that divides 4736 without a remainder.

1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 296, 592, 1184, 2368, 4736

Factors of 4739

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

1, 7, 677, 4739

Least Common Multiple of 4736 and 4739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4736 and 4739, than apply into the LCM equation.

GCF(4736,4739) = 1
LCM(4736,4739) = ( 4736 × 4739) / 1
LCM(4736,4739) = 22443904 / 1
LCM(4736,4739) = 22443904

Properties of LCM 4736 and 4739

(i) The LCM of 4739 and 4736 is associative

LCM of 4736 and 4739 = LCM of 4739 and 4736

Related Least Common Multiples of 4736

Related Least Common Multiples of 4739

Frequently Asked Questions on LCM of 4736 and 4739

1. What is the LCM of 4736 and 4739?

Answer: LCM of 4736 and 4739 is 22443904.

2. What are the Factors of 4736?

Answer: Factors of 4736 are 1, 2, 4, 8, 16, 32, 37, 64, 74, 128, 148, 296, 592, 1184, 2368, 4736. There are 16 integers that are factors of 4736. The greatest factor of 4736 is 4736.

3. 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.

4. How to Find the LCM of 4736 and 4739?

Answer:

Least Common Multiple of 4736 and 4739 = 22443904

Step 1: Find the prime factorization of 4736

4736 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 37

Step 2: Find the prime factorization of 4739

4739 = 7 x 677

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

LCM = 22443904 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 37 x 677

Step 4: Therefore, the least common multiple of 4736 and 4739 is 22443904.