Least Common Multiple of 4903 and 4907

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4903 and 4907 the smallest integer that is 24059021 that is divisible by both numbers.

Least Common Multiple (LCM) of 4903 and 4907 is 24059021.

LCM(4903,4907) = 24059021

LCM of 4903 and 4907

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

LCM of:
and

Least Common Multiple of 4903 and 4907

LCM of 4903 and 4907 is 24059021

Least common multiple can be found by multiplying the highest exponent prime factors of 4903 and 4907. First we will calculate the prime factors of 4903 and 4907.

Prime Factorization of 4903


4903 4903
1

Prime factors of 4903 are 4903. Prime factorization of 4903 in exponential form is:

4903 = 49031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4903 and 4907.

LCM(4903,4907) = 71×7011×49031
LCM(4903,4907) = 24059021

Factors of 4903

List of positive integer factors of 4903 that divides 4903 without a remainder.

1, 4903

Factors of 4907

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

1, 7, 701, 4907

Least Common Multiple of 4903 and 4907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4903 and 4907, than apply into the LCM equation.

GCF(4903,4907) = 1
LCM(4903,4907) = ( 4903 × 4907) / 1
LCM(4903,4907) = 24059021 / 1
LCM(4903,4907) = 24059021

Properties of LCM 4903 and 4907

(i) The LCM of 4907 and 4903 is associative

LCM of 4903 and 4907 = LCM of 4907 and 4903

Related Least Common Multiples of 4903

Related Least Common Multiples of 4907

Frequently Asked Questions on LCM of 4903 and 4907

1. What is the LCM of 4903 and 4907?

Answer: LCM of 4903 and 4907 is 24059021.

2. What are the Factors of 4903?

Answer: Factors of 4903 are 1, 4903. There are 2 integers that are factors of 4903. The greatest factor of 4903 is 4903.

3. 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.

4. How to Find the LCM of 4903 and 4907?

Answer:

Least Common Multiple of 4903 and 4907 = 24059021

Step 1: Find the prime factorization of 4903

4903 = 4903

Step 2: Find the prime factorization of 4907

4907 = 7 x 701

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

LCM = 24059021 = 7 x 701 x 4903

Step 4: Therefore, the least common multiple of 4903 and 4907 is 24059021.