Least Common Multiple of 4907 and 4913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4907 and 4913 the smallest integer that is 24108091 that is divisible by both numbers.

Least Common Multiple (LCM) of 4907 and 4913 is 24108091.

LCM(4907,4913) = 24108091

LCM of 4907 and 4913

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

LCM of:
and

Least Common Multiple of 4907 and 4913

LCM of 4907 and 4913 is 24108091

Least common multiple can be found by multiplying the highest exponent prime factors of 4907 and 4913. First we will calculate the prime factors of 4907 and 4913.

Prime Factorization of 4907


7 4907
701 701
1

Prime factors of 4907 are 7,701. Prime factorization of 4907 in exponential form is:

4907 = 71×7011

Prime Factorization of 4913


17 4913
17 289
17 17
1

Prime factors of 4913 are 17. Prime factorization of 4913 in exponential form is:

4913 = 173

Now multiplying the highest exponent prime factors to calculate the LCM of 4907 and 4913.

LCM(4907,4913) = 71×173×7011
LCM(4907,4913) = 24108091

Factors of 4907

List of positive integer factors of 4907 that divides 4907 without a remainder.

1, 7, 701, 4907

Factors of 4913

List of positive integer factors of 4913 that divides 4913 without a remainder.

1, 17, 289, 4913

Least Common Multiple of 4907 and 4913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4907 and 4913, than apply into the LCM equation.

GCF(4907,4913) = 1
LCM(4907,4913) = ( 4907 × 4913) / 1
LCM(4907,4913) = 24108091 / 1
LCM(4907,4913) = 24108091

Properties of LCM 4907 and 4913

(i) The LCM of 4913 and 4907 is associative

LCM of 4907 and 4913 = LCM of 4913 and 4907

Related Least Common Multiples of 4907

Related Least Common Multiples of 4913

Frequently Asked Questions on LCM of 4907 and 4913

1. What is the LCM of 4907 and 4913?

Answer: LCM of 4907 and 4913 is 24108091.

2. What are the Factors of 4907?

Answer: Factors of 4907 are 1, 7, 701, 4907. There are 4 integers that are factors of 4907. The greatest factor of 4907 is 4907.

3. What are the Factors of 4913?

Answer: Factors of 4913 are 1, 17, 289, 4913. There are 4 integers that are factors of 4913. The greatest factor of 4913 is 4913.

4. How to Find the LCM of 4907 and 4913?

Answer:

Least Common Multiple of 4907 and 4913 = 24108091

Step 1: Find the prime factorization of 4907

4907 = 7 x 701

Step 2: Find the prime factorization of 4913

4913 = 17 x 17 x 17

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

LCM = 24108091 = 7 x 17 x 17 x 17 x 701

Step 4: Therefore, the least common multiple of 4907 and 4913 is 24108091.