Least Common Multiple of 4900 and 4903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4900 and 4903 the smallest integer that is 24024700 that is divisible by both numbers.

Least Common Multiple (LCM) of 4900 and 4903 is 24024700.

LCM(4900,4903) = 24024700

LCM of 4900 and 4903

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

LCM of:
and

Least Common Multiple of 4900 and 4903

LCM of 4900 and 4903 is 24024700

Least common multiple can be found by multiplying the highest exponent prime factors of 4900 and 4903. First we will calculate the prime factors of 4900 and 4903.

Prime Factorization of 4900


2 4900
2 2450
5 1225
5 245
7 49
7 7
1

Prime factors of 4900 are 2, 5,7. Prime factorization of 4900 in exponential form is:

4900 = 22×52×72

Prime Factorization of 4903


4903 4903
1

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

4903 = 49031

Now multiplying the highest exponent prime factors to calculate the LCM of 4900 and 4903.

LCM(4900,4903) = 22×52×72×49031
LCM(4900,4903) = 24024700

Factors of 4900

List of positive integer factors of 4900 that divides 4900 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900

Factors of 4903

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

1, 4903

Least Common Multiple of 4900 and 4903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4900 and 4903, than apply into the LCM equation.

GCF(4900,4903) = 1
LCM(4900,4903) = ( 4900 × 4903) / 1
LCM(4900,4903) = 24024700 / 1
LCM(4900,4903) = 24024700

Properties of LCM 4900 and 4903

(i) The LCM of 4903 and 4900 is associative

LCM of 4900 and 4903 = LCM of 4903 and 4900

Related Least Common Multiples of 4900

Related Least Common Multiples of 4903

Frequently Asked Questions on LCM of 4900 and 4903

1. What is the LCM of 4900 and 4903?

Answer: LCM of 4900 and 4903 is 24024700.

2. What are the Factors of 4900?

Answer: Factors of 4900 are 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 49, 50, 70, 98, 100, 140, 175, 196, 245, 350, 490, 700, 980, 1225, 2450, 4900. There are 27 integers that are factors of 4900. The greatest factor of 4900 is 4900.

3. 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.

4. How to Find the LCM of 4900 and 4903?

Answer:

Least Common Multiple of 4900 and 4903 = 24024700

Step 1: Find the prime factorization of 4900

4900 = 2 x 2 x 5 x 5 x 7 x 7

Step 2: Find the prime factorization of 4903

4903 = 4903

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

LCM = 24024700 = 2 x 2 x 5 x 5 x 7 x 7 x 4903

Step 4: Therefore, the least common multiple of 4900 and 4903 is 24024700.