Least Common Multiple of 4889 and 4897

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 4897 the smallest integer that is 23941433 that is divisible by both numbers.

Least Common Multiple (LCM) of 4889 and 4897 is 23941433.

LCM(4889,4897) = 23941433

LCM of 4889 and 4897

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

LCM of:
and

Least Common Multiple of 4889 and 4897

LCM of 4889 and 4897 is 23941433

Least common multiple can be found by multiplying the highest exponent prime factors of 4889 and 4897. First we will calculate the prime factors of 4889 and 4897.

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 4897


59 4897
83 83
1

Prime factors of 4897 are 59,83. Prime factorization of 4897 in exponential form is:

4897 = 591×831

Now multiplying the highest exponent prime factors to calculate the LCM of 4889 and 4897.

LCM(4889,4897) = 591×831×48891
LCM(4889,4897) = 23941433

Factors of 4889

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

1, 4889

Factors of 4897

List of positive integer factors of 4897 that divides 4897 without a remainder.

1, 59, 83, 4897

Least Common Multiple of 4889 and 4897 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 4897, than apply into the LCM equation.

GCF(4889,4897) = 1
LCM(4889,4897) = ( 4889 × 4897) / 1
LCM(4889,4897) = 23941433 / 1
LCM(4889,4897) = 23941433

Properties of LCM 4889 and 4897

(i) The LCM of 4897 and 4889 is associative

LCM of 4889 and 4897 = LCM of 4897 and 4889

Related Least Common Multiples of 4889

Related Least Common Multiples of 4897

Frequently Asked Questions on LCM of 4889 and 4897

1. What is the LCM of 4889 and 4897?

Answer: LCM of 4889 and 4897 is 23941433.

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 4897?

Answer: Factors of 4897 are 1, 59, 83, 4897. There are 4 integers that are factors of 4897. The greatest factor of 4897 is 4897.

4. How to Find the LCM of 4889 and 4897?

Answer:

Least Common Multiple of 4889 and 4897 = 23941433

Step 1: Find the prime factorization of 4889

4889 = 4889

Step 2: Find the prime factorization of 4897

4897 = 59 x 83

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

LCM = 23941433 = 59 x 83 x 4889

Step 4: Therefore, the least common multiple of 4889 and 4897 is 23941433.