Least Common Multiple of 4900 and 4901

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 4901 the smallest integer that is 24014900 that is divisible by both numbers.

Least Common Multiple (LCM) of 4900 and 4901 is 24014900.

LCM(4900,4901) = 24014900

LCM of 4900 and 4901

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

LCM of:
and

Least Common Multiple of 4900 and 4901

LCM of 4900 and 4901 is 24014900

Least common multiple can be found by multiplying the highest exponent prime factors of 4900 and 4901. First we will calculate the prime factors of 4900 and 4901.

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 4901


13 4901
13 377
29 29
1

Prime factors of 4901 are 13,29. Prime factorization of 4901 in exponential form is:

4901 = 132×291

Now multiplying the highest exponent prime factors to calculate the LCM of 4900 and 4901.

LCM(4900,4901) = 22×52×72×132×291
LCM(4900,4901) = 24014900

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 4901

List of positive integer factors of 4901 that divides 4901 without a remainder.

1, 13, 29, 169, 377, 4901

Least Common Multiple of 4900 and 4901 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 4901, than apply into the LCM equation.

GCF(4900,4901) = 1
LCM(4900,4901) = ( 4900 × 4901) / 1
LCM(4900,4901) = 24014900 / 1
LCM(4900,4901) = 24014900

Properties of LCM 4900 and 4901

(i) The LCM of 4901 and 4900 is associative

LCM of 4900 and 4901 = LCM of 4901 and 4900

Related Least Common Multiples of 4900

Related Least Common Multiples of 4901

Frequently Asked Questions on LCM of 4900 and 4901

1. What is the LCM of 4900 and 4901?

Answer: LCM of 4900 and 4901 is 24014900.

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 4901?

Answer: Factors of 4901 are 1, 13, 29, 169, 377, 4901. There are 6 integers that are factors of 4901. The greatest factor of 4901 is 4901.

4. How to Find the LCM of 4900 and 4901?

Answer:

Least Common Multiple of 4900 and 4901 = 24014900

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 4901

4901 = 13 x 13 x 29

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

LCM = 24014900 = 2 x 2 x 5 x 5 x 7 x 7 x 13 x 13 x 29

Step 4: Therefore, the least common multiple of 4900 and 4901 is 24014900.