Least Common Multiple of 4903 and 4909

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 4909 the smallest integer that is 24068827 that is divisible by both numbers.

Least Common Multiple (LCM) of 4903 and 4909 is 24068827.

LCM(4903,4909) = 24068827

LCM of 4903 and 4909

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

LCM of:
and

Least Common Multiple of 4903 and 4909

LCM of 4903 and 4909 is 24068827

Least common multiple can be found by multiplying the highest exponent prime factors of 4903 and 4909. First we will calculate the prime factors of 4903 and 4909.

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 4909


4909 4909
1

Prime factors of 4909 are 4909. Prime factorization of 4909 in exponential form is:

4909 = 49091

Now multiplying the highest exponent prime factors to calculate the LCM of 4903 and 4909.

LCM(4903,4909) = 49031×49091
LCM(4903,4909) = 24068827

Factors of 4903

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

1, 4903

Factors of 4909

List of positive integer factors of 4909 that divides 4909 without a remainder.

1, 4909

Least Common Multiple of 4903 and 4909 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 4909, than apply into the LCM equation.

GCF(4903,4909) = 1
LCM(4903,4909) = ( 4903 × 4909) / 1
LCM(4903,4909) = 24068827 / 1
LCM(4903,4909) = 24068827

Properties of LCM 4903 and 4909

(i) The LCM of 4909 and 4903 is associative

LCM of 4903 and 4909 = LCM of 4909 and 4903

Related Least Common Multiples of 4903

Related Least Common Multiples of 4909

Frequently Asked Questions on LCM of 4903 and 4909

1. What is the LCM of 4903 and 4909?

Answer: LCM of 4903 and 4909 is 24068827.

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 4909?

Answer: Factors of 4909 are 1, 4909. There are 2 integers that are factors of 4909. The greatest factor of 4909 is 4909.

4. How to Find the LCM of 4903 and 4909?

Answer:

Least Common Multiple of 4903 and 4909 = 24068827

Step 1: Find the prime factorization of 4903

4903 = 4903

Step 2: Find the prime factorization of 4909

4909 = 4909

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

LCM = 24068827 = 4903 x 4909

Step 4: Therefore, the least common multiple of 4903 and 4909 is 24068827.