Least Common Multiple of 4900 and 4902

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 4902 the smallest integer that is 12009900 that is divisible by both numbers.

Least Common Multiple (LCM) of 4900 and 4902 is 12009900.

LCM(4900,4902) = 12009900

LCM of 4900 and 4902

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

LCM of:
and

Least Common Multiple of 4900 and 4902

LCM of 4900 and 4902 is 12009900

Least common multiple can be found by multiplying the highest exponent prime factors of 4900 and 4902. First we will calculate the prime factors of 4900 and 4902.

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 4902


2 4902
3 2451
19 817
43 43
1

Prime factors of 4902 are 2, 3, 19,43. Prime factorization of 4902 in exponential form is:

4902 = 21×31×191×431

Now multiplying the highest exponent prime factors to calculate the LCM of 4900 and 4902.

LCM(4900,4902) = 22×31×52×72×191×431
LCM(4900,4902) = 12009900

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 4902

List of positive integer factors of 4902 that divides 4902 without a remainder.

1, 2, 3, 6, 19, 38, 43, 57, 86, 114, 129, 258, 817, 1634, 2451, 4902

Least Common Multiple of 4900 and 4902 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 4902, than apply into the LCM equation.

GCF(4900,4902) = 2
LCM(4900,4902) = ( 4900 × 4902) / 2
LCM(4900,4902) = 24019800 / 2
LCM(4900,4902) = 12009900

Properties of LCM 4900 and 4902

(i) The LCM of 4902 and 4900 is associative

LCM of 4900 and 4902 = LCM of 4902 and 4900

Related Least Common Multiples of 4900

Related Least Common Multiples of 4902

Frequently Asked Questions on LCM of 4900 and 4902

1. What is the LCM of 4900 and 4902?

Answer: LCM of 4900 and 4902 is 12009900.

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 4902?

Answer: Factors of 4902 are 1, 2, 3, 6, 19, 38, 43, 57, 86, 114, 129, 258, 817, 1634, 2451, 4902. There are 16 integers that are factors of 4902. The greatest factor of 4902 is 4902.

4. How to Find the LCM of 4900 and 4902?

Answer:

Least Common Multiple of 4900 and 4902 = 12009900

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 4902

4902 = 2 x 3 x 19 x 43

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

LCM = 12009900 = 2 x 2 x 3 x 5 x 5 x 7 x 7 x 19 x 43

Step 4: Therefore, the least common multiple of 4900 and 4902 is 12009900.