Least Common Multiple of 4819 and 4827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4819 and 4827 the smallest integer that is 23261313 that is divisible by both numbers.

Least Common Multiple (LCM) of 4819 and 4827 is 23261313.

LCM(4819,4827) = 23261313

LCM of 4819 and 4827

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

LCM of:
and

Least Common Multiple of 4819 and 4827

LCM of 4819 and 4827 is 23261313

Least common multiple can be found by multiplying the highest exponent prime factors of 4819 and 4827. First we will calculate the prime factors of 4819 and 4827.

Prime Factorization of 4819


61 4819
79 79
1

Prime factors of 4819 are 61,79. Prime factorization of 4819 in exponential form is:

4819 = 611×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4819 and 4827.

LCM(4819,4827) = 31×611×791×16091
LCM(4819,4827) = 23261313

Factors of 4819

List of positive integer factors of 4819 that divides 4819 without a remainder.

1, 61, 79, 4819

Factors of 4827

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

1, 3, 1609, 4827

Least Common Multiple of 4819 and 4827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4819 and 4827, than apply into the LCM equation.

GCF(4819,4827) = 1
LCM(4819,4827) = ( 4819 × 4827) / 1
LCM(4819,4827) = 23261313 / 1
LCM(4819,4827) = 23261313

Properties of LCM 4819 and 4827

(i) The LCM of 4827 and 4819 is associative

LCM of 4819 and 4827 = LCM of 4827 and 4819

Related Least Common Multiples of 4819

Related Least Common Multiples of 4827

Frequently Asked Questions on LCM of 4819 and 4827

1. What is the LCM of 4819 and 4827?

Answer: LCM of 4819 and 4827 is 23261313.

2. What are the Factors of 4819?

Answer: Factors of 4819 are 1, 61, 79, 4819. There are 4 integers that are factors of 4819. The greatest factor of 4819 is 4819.

3. 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.

4. How to Find the LCM of 4819 and 4827?

Answer:

Least Common Multiple of 4819 and 4827 = 23261313

Step 1: Find the prime factorization of 4819

4819 = 61 x 79

Step 2: Find the prime factorization of 4827

4827 = 3 x 1609

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

LCM = 23261313 = 3 x 61 x 79 x 1609

Step 4: Therefore, the least common multiple of 4819 and 4827 is 23261313.