Least Common Multiple of 4728 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 4728 and 4736 the smallest integer that is 2798976 that is divisible by both numbers.

Least Common Multiple (LCM) of 4728 and 4736 is 2798976.

LCM(4728,4736) = 2798976

LCM of 4728 and 4736

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

LCM of:
and

Least Common Multiple of 4728 and 4736

LCM of 4728 and 4736 is 2798976

Least common multiple can be found by multiplying the highest exponent prime factors of 4728 and 4736. First we will calculate the prime factors of 4728 and 4736.

Prime Factorization of 4728


2 4728
2 2364
2 1182
3 591
197 197
1

Prime factors of 4728 are 2, 3,197. Prime factorization of 4728 in exponential form is:

4728 = 23×31×1971

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 4728 and 4736.

LCM(4728,4736) = 27×31×371×1971
LCM(4728,4736) = 2798976

Factors of 4728

List of positive integer factors of 4728 that divides 4728 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 197, 394, 591, 788, 1182, 1576, 2364, 4728

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 4728 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 4728 and 4736, than apply into the LCM equation.

GCF(4728,4736) = 8
LCM(4728,4736) = ( 4728 × 4736) / 8
LCM(4728,4736) = 22391808 / 8
LCM(4728,4736) = 2798976

Properties of LCM 4728 and 4736

(i) The LCM of 4736 and 4728 is associative

LCM of 4728 and 4736 = LCM of 4736 and 4728

Related Least Common Multiples of 4728

Related Least Common Multiples of 4736

Frequently Asked Questions on LCM of 4728 and 4736

1. What is the LCM of 4728 and 4736?

Answer: LCM of 4728 and 4736 is 2798976.

2. What are the Factors of 4728?

Answer: Factors of 4728 are 1, 2, 3, 4, 6, 8, 12, 24, 197, 394, 591, 788, 1182, 1576, 2364, 4728. There are 16 integers that are factors of 4728. The greatest factor of 4728 is 4728.

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 4728 and 4736?

Answer:

Least Common Multiple of 4728 and 4736 = 2798976

Step 1: Find the prime factorization of 4728

4728 = 2 x 2 x 2 x 3 x 197

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 = 2798976 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 37 x 197

Step 4: Therefore, the least common multiple of 4728 and 4736 is 2798976.