Least Common Multiple of 4730 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 4730 and 4736 the smallest integer that is 11200640 that is divisible by both numbers.

Least Common Multiple (LCM) of 4730 and 4736 is 11200640.

LCM(4730,4736) = 11200640

LCM of 4730 and 4736

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

LCM of:
and

Least Common Multiple of 4730 and 4736

LCM of 4730 and 4736 is 11200640

Least common multiple can be found by multiplying the highest exponent prime factors of 4730 and 4736. First we will calculate the prime factors of 4730 and 4736.

Prime Factorization of 4730


2 4730
5 2365
11 473
43 43
1

Prime factors of 4730 are 2, 5, 11,43. Prime factorization of 4730 in exponential form is:

4730 = 21×51×111×431

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 4730 and 4736.

LCM(4730,4736) = 27×51×111×371×431
LCM(4730,4736) = 11200640

Factors of 4730

List of positive integer factors of 4730 that divides 4730 without a remainder.

1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365, 4730

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 4730 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 4730 and 4736, than apply into the LCM equation.

GCF(4730,4736) = 2
LCM(4730,4736) = ( 4730 × 4736) / 2
LCM(4730,4736) = 22401280 / 2
LCM(4730,4736) = 11200640

Properties of LCM 4730 and 4736

(i) The LCM of 4736 and 4730 is associative

LCM of 4730 and 4736 = LCM of 4736 and 4730

Related Least Common Multiples of 4730

Related Least Common Multiples of 4736

Frequently Asked Questions on LCM of 4730 and 4736

1. What is the LCM of 4730 and 4736?

Answer: LCM of 4730 and 4736 is 11200640.

2. What are the Factors of 4730?

Answer: Factors of 4730 are 1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365, 4730. There are 16 integers that are factors of 4730. The greatest factor of 4730 is 4730.

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 4730 and 4736?

Answer:

Least Common Multiple of 4730 and 4736 = 11200640

Step 1: Find the prime factorization of 4730

4730 = 2 x 5 x 11 x 43

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 = 11200640 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 37 x 43

Step 4: Therefore, the least common multiple of 4730 and 4736 is 11200640.