Least Common Multiple of 4720 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 4720 and 4728 the smallest integer that is 2789520 that is divisible by both numbers.

Least Common Multiple (LCM) of 4720 and 4728 is 2789520.

LCM(4720,4728) = 2789520

LCM of 4720 and 4728

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

LCM of:
and

Least Common Multiple of 4720 and 4728

LCM of 4720 and 4728 is 2789520

Least common multiple can be found by multiplying the highest exponent prime factors of 4720 and 4728. First we will calculate the prime factors of 4720 and 4728.

Prime Factorization of 4720


2 4720
2 2360
2 1180
2 590
5 295
59 59
1

Prime factors of 4720 are 2, 5,59. Prime factorization of 4720 in exponential form is:

4720 = 24×51×591

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 4720 and 4728.

LCM(4720,4728) = 24×31×51×591×1971
LCM(4720,4728) = 2789520

Factors of 4720

List of positive integer factors of 4720 that divides 4720 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 59, 80, 118, 236, 295, 472, 590, 944, 1180, 2360, 4720

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 4720 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 4720 and 4728, than apply into the LCM equation.

GCF(4720,4728) = 8
LCM(4720,4728) = ( 4720 × 4728) / 8
LCM(4720,4728) = 22316160 / 8
LCM(4720,4728) = 2789520

Properties of LCM 4720 and 4728

(i) The LCM of 4728 and 4720 is associative

LCM of 4720 and 4728 = LCM of 4728 and 4720

Related Least Common Multiples of 4720

Related Least Common Multiples of 4728

Frequently Asked Questions on LCM of 4720 and 4728

1. What is the LCM of 4720 and 4728?

Answer: LCM of 4720 and 4728 is 2789520.

2. What are the Factors of 4720?

Answer: Factors of 4720 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 59, 80, 118, 236, 295, 472, 590, 944, 1180, 2360, 4720. There are 20 integers that are factors of 4720. The greatest factor of 4720 is 4720.

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 4720 and 4728?

Answer:

Least Common Multiple of 4720 and 4728 = 2789520

Step 1: Find the prime factorization of 4720

4720 = 2 x 2 x 2 x 2 x 5 x 59

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 = 2789520 = 2 x 2 x 2 x 2 x 3 x 5 x 59 x 197

Step 4: Therefore, the least common multiple of 4720 and 4728 is 2789520.