Least Common Multiple of 4901 and 4908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4901 and 4908 the smallest integer that is 24054108 that is divisible by both numbers.

Least Common Multiple (LCM) of 4901 and 4908 is 24054108.

LCM(4901,4908) = 24054108

LCM of 4901 and 4908

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

LCM of:
and

Least Common Multiple of 4901 and 4908

LCM of 4901 and 4908 is 24054108

Least common multiple can be found by multiplying the highest exponent prime factors of 4901 and 4908. First we will calculate the prime factors of 4901 and 4908.

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

Prime Factorization of 4908


2 4908
2 2454
3 1227
409 409
1

Prime factors of 4908 are 2, 3,409. Prime factorization of 4908 in exponential form is:

4908 = 22×31×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 4901 and 4908.

LCM(4901,4908) = 22×31×132×291×4091
LCM(4901,4908) = 24054108

Factors of 4901

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

1, 13, 29, 169, 377, 4901

Factors of 4908

List of positive integer factors of 4908 that divides 4908 without a remainder.

1, 2, 3, 4, 6, 12, 409, 818, 1227, 1636, 2454, 4908

Least Common Multiple of 4901 and 4908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4901 and 4908, than apply into the LCM equation.

GCF(4901,4908) = 1
LCM(4901,4908) = ( 4901 × 4908) / 1
LCM(4901,4908) = 24054108 / 1
LCM(4901,4908) = 24054108

Properties of LCM 4901 and 4908

(i) The LCM of 4908 and 4901 is associative

LCM of 4901 and 4908 = LCM of 4908 and 4901

Related Least Common Multiples of 4901

Related Least Common Multiples of 4908

Frequently Asked Questions on LCM of 4901 and 4908

1. What is the LCM of 4901 and 4908?

Answer: LCM of 4901 and 4908 is 24054108.

2. 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.

3. What are the Factors of 4908?

Answer: Factors of 4908 are 1, 2, 3, 4, 6, 12, 409, 818, 1227, 1636, 2454, 4908. There are 12 integers that are factors of 4908. The greatest factor of 4908 is 4908.

4. How to Find the LCM of 4901 and 4908?

Answer:

Least Common Multiple of 4901 and 4908 = 24054108

Step 1: Find the prime factorization of 4901

4901 = 13 x 13 x 29

Step 2: Find the prime factorization of 4908

4908 = 2 x 2 x 3 x 409

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

LCM = 24054108 = 2 x 2 x 3 x 13 x 13 x 29 x 409

Step 4: Therefore, the least common multiple of 4901 and 4908 is 24054108.