Least Common Multiple of 4724 and 4728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4724 and 4728 the smallest integer that is 5583768 that is divisible by both numbers.

Least Common Multiple (LCM) of 4724 and 4728 is 5583768.

LCM(4724,4728) = 5583768

LCM of 4724 and 4728

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

LCM of:
and

Least Common Multiple of 4724 and 4728

LCM of 4724 and 4728 is 5583768

Least common multiple can be found by multiplying the highest exponent prime factors of 4724 and 4728. First we will calculate the prime factors of 4724 and 4728.

Prime Factorization of 4724


2 4724
2 2362
1181 1181
1

Prime factors of 4724 are 2,1181. Prime factorization of 4724 in exponential form is:

4724 = 22×11811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4724 and 4728.

LCM(4724,4728) = 23×31×1971×11811
LCM(4724,4728) = 5583768

Factors of 4724

List of positive integer factors of 4724 that divides 4724 without a remainder.

1, 2, 4, 1181, 2362, 4724

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

Least Common Multiple of 4724 and 4728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4724 and 4728, than apply into the LCM equation.

GCF(4724,4728) = 4
LCM(4724,4728) = ( 4724 × 4728) / 4
LCM(4724,4728) = 22335072 / 4
LCM(4724,4728) = 5583768

Properties of LCM 4724 and 4728

(i) The LCM of 4728 and 4724 is associative

LCM of 4724 and 4728 = LCM of 4728 and 4724

Related Least Common Multiples of 4724

Related Least Common Multiples of 4728

Frequently Asked Questions on LCM of 4724 and 4728

1. What is the LCM of 4724 and 4728?

Answer: LCM of 4724 and 4728 is 5583768.

2. What are the Factors of 4724?

Answer: Factors of 4724 are 1, 2, 4, 1181, 2362, 4724. There are 6 integers that are factors of 4724. The greatest factor of 4724 is 4724.

3. 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.

4. How to Find the LCM of 4724 and 4728?

Answer:

Least Common Multiple of 4724 and 4728 = 5583768

Step 1: Find the prime factorization of 4724

4724 = 2 x 2 x 1181

Step 2: Find the prime factorization of 4728

4728 = 2 x 2 x 2 x 3 x 197

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

LCM = 5583768 = 2 x 2 x 2 x 3 x 197 x 1181

Step 4: Therefore, the least common multiple of 4724 and 4728 is 5583768.