Least Common Multiple of 4729 and 4736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4729 and 4736 the smallest integer that is 22396544 that is divisible by both numbers.

Least Common Multiple (LCM) of 4729 and 4736 is 22396544.

LCM(4729,4736) = 22396544

LCM of 4729 and 4736

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

LCM of:
and

Least Common Multiple of 4729 and 4736

LCM of 4729 and 4736 is 22396544

Least common multiple can be found by multiplying the highest exponent prime factors of 4729 and 4736. First we will calculate the prime factors of 4729 and 4736.

Prime Factorization of 4729


4729 4729
1

Prime factors of 4729 are 4729. Prime factorization of 4729 in exponential form is:

4729 = 47291

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4729 and 4736.

LCM(4729,4736) = 27×371×47291
LCM(4729,4736) = 22396544

Factors of 4729

List of positive integer factors of 4729 that divides 4729 without a remainder.

1, 4729

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

Least Common Multiple of 4729 and 4736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4729 and 4736, than apply into the LCM equation.

GCF(4729,4736) = 1
LCM(4729,4736) = ( 4729 × 4736) / 1
LCM(4729,4736) = 22396544 / 1
LCM(4729,4736) = 22396544

Properties of LCM 4729 and 4736

(i) The LCM of 4736 and 4729 is associative

LCM of 4729 and 4736 = LCM of 4736 and 4729

Related Least Common Multiples of 4729

Related Least Common Multiples of 4736

Frequently Asked Questions on LCM of 4729 and 4736

1. What is the LCM of 4729 and 4736?

Answer: LCM of 4729 and 4736 is 22396544.

2. What are the Factors of 4729?

Answer: Factors of 4729 are 1, 4729. There are 2 integers that are factors of 4729. The greatest factor of 4729 is 4729.

3. 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.

4. How to Find the LCM of 4729 and 4736?

Answer:

Least Common Multiple of 4729 and 4736 = 22396544

Step 1: Find the prime factorization of 4729

4729 = 4729

Step 2: Find the prime factorization of 4736

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

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

LCM = 22396544 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 37 x 4729

Step 4: Therefore, the least common multiple of 4729 and 4736 is 22396544.