Least Common Multiple of 4827 and 4832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4827 and 4832 the smallest integer that is 23324064 that is divisible by both numbers.

Least Common Multiple (LCM) of 4827 and 4832 is 23324064.

LCM(4827,4832) = 23324064

LCM of 4827 and 4832

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

LCM of:
and

Least Common Multiple of 4827 and 4832

LCM of 4827 and 4832 is 23324064

Least common multiple can be found by multiplying the highest exponent prime factors of 4827 and 4832. First we will calculate the prime factors of 4827 and 4832.

Prime Factorization of 4827


3 4827
1609 1609
1

Prime factors of 4827 are 3,1609. Prime factorization of 4827 in exponential form is:

4827 = 31×16091

Prime Factorization of 4832


2 4832
2 2416
2 1208
2 604
2 302
151 151
1

Prime factors of 4832 are 2,151. Prime factorization of 4832 in exponential form is:

4832 = 25×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 4827 and 4832.

LCM(4827,4832) = 25×31×1511×16091
LCM(4827,4832) = 23324064

Factors of 4827

List of positive integer factors of 4827 that divides 4827 without a remainder.

1, 3, 1609, 4827

Factors of 4832

List of positive integer factors of 4832 that divides 4832 without a remainder.

1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832

Least Common Multiple of 4827 and 4832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4827 and 4832, than apply into the LCM equation.

GCF(4827,4832) = 1
LCM(4827,4832) = ( 4827 × 4832) / 1
LCM(4827,4832) = 23324064 / 1
LCM(4827,4832) = 23324064

Properties of LCM 4827 and 4832

(i) The LCM of 4832 and 4827 is associative

LCM of 4827 and 4832 = LCM of 4832 and 4827

Related Least Common Multiples of 4827

Related Least Common Multiples of 4832

Frequently Asked Questions on LCM of 4827 and 4832

1. What is the LCM of 4827 and 4832?

Answer: LCM of 4827 and 4832 is 23324064.

2. What are the Factors of 4827?

Answer: Factors of 4827 are 1, 3, 1609, 4827. There are 4 integers that are factors of 4827. The greatest factor of 4827 is 4827.

3. What are the Factors of 4832?

Answer: Factors of 4832 are 1, 2, 4, 8, 16, 32, 151, 302, 604, 1208, 2416, 4832. There are 12 integers that are factors of 4832. The greatest factor of 4832 is 4832.

4. How to Find the LCM of 4827 and 4832?

Answer:

Least Common Multiple of 4827 and 4832 = 23324064

Step 1: Find the prime factorization of 4827

4827 = 3 x 1609

Step 2: Find the prime factorization of 4832

4832 = 2 x 2 x 2 x 2 x 2 x 151

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

LCM = 23324064 = 2 x 2 x 2 x 2 x 2 x 3 x 151 x 1609

Step 4: Therefore, the least common multiple of 4827 and 4832 is 23324064.