Least Common Multiple of 4889 and 4894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4889 and 4894 the smallest integer that is 23926766 that is divisible by both numbers.

Least Common Multiple (LCM) of 4889 and 4894 is 23926766.

LCM(4889,4894) = 23926766

LCM of 4889 and 4894

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

LCM of:
and

Least Common Multiple of 4889 and 4894

LCM of 4889 and 4894 is 23926766

Least common multiple can be found by multiplying the highest exponent prime factors of 4889 and 4894. First we will calculate the prime factors of 4889 and 4894.

Prime Factorization of 4889


4889 4889
1

Prime factors of 4889 are 4889. Prime factorization of 4889 in exponential form is:

4889 = 48891

Prime Factorization of 4894


2 4894
2447 2447
1

Prime factors of 4894 are 2,2447. Prime factorization of 4894 in exponential form is:

4894 = 21×24471

Now multiplying the highest exponent prime factors to calculate the LCM of 4889 and 4894.

LCM(4889,4894) = 21×24471×48891
LCM(4889,4894) = 23926766

Factors of 4889

List of positive integer factors of 4889 that divides 4889 without a remainder.

1, 4889

Factors of 4894

List of positive integer factors of 4894 that divides 4894 without a remainder.

1, 2, 2447, 4894

Least Common Multiple of 4889 and 4894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4889 and 4894, than apply into the LCM equation.

GCF(4889,4894) = 1
LCM(4889,4894) = ( 4889 × 4894) / 1
LCM(4889,4894) = 23926766 / 1
LCM(4889,4894) = 23926766

Properties of LCM 4889 and 4894

(i) The LCM of 4894 and 4889 is associative

LCM of 4889 and 4894 = LCM of 4894 and 4889

Related Least Common Multiples of 4889

Related Least Common Multiples of 4894

Frequently Asked Questions on LCM of 4889 and 4894

1. What is the LCM of 4889 and 4894?

Answer: LCM of 4889 and 4894 is 23926766.

2. What are the Factors of 4889?

Answer: Factors of 4889 are 1, 4889. There are 2 integers that are factors of 4889. The greatest factor of 4889 is 4889.

3. What are the Factors of 4894?

Answer: Factors of 4894 are 1, 2, 2447, 4894. There are 4 integers that are factors of 4894. The greatest factor of 4894 is 4894.

4. How to Find the LCM of 4889 and 4894?

Answer:

Least Common Multiple of 4889 and 4894 = 23926766

Step 1: Find the prime factorization of 4889

4889 = 4889

Step 2: Find the prime factorization of 4894

4894 = 2 x 2447

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

LCM = 23926766 = 2 x 2447 x 4889

Step 4: Therefore, the least common multiple of 4889 and 4894 is 23926766.