Least Common Multiple of 4904 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 4904 and 4908 the smallest integer that is 6017208 that is divisible by both numbers.

Least Common Multiple (LCM) of 4904 and 4908 is 6017208.

LCM(4904,4908) = 6017208

LCM of 4904 and 4908

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

LCM of:
and

Least Common Multiple of 4904 and 4908

LCM of 4904 and 4908 is 6017208

Least common multiple can be found by multiplying the highest exponent prime factors of 4904 and 4908. First we will calculate the prime factors of 4904 and 4908.

Prime Factorization of 4904


2 4904
2 2452
2 1226
613 613
1

Prime factors of 4904 are 2,613. Prime factorization of 4904 in exponential form is:

4904 = 23×6131

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 4904 and 4908.

LCM(4904,4908) = 23×31×4091×6131
LCM(4904,4908) = 6017208

Factors of 4904

List of positive integer factors of 4904 that divides 4904 without a remainder.

1, 2, 4, 8, 613, 1226, 2452, 4904

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 4904 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 4904 and 4908, than apply into the LCM equation.

GCF(4904,4908) = 4
LCM(4904,4908) = ( 4904 × 4908) / 4
LCM(4904,4908) = 24068832 / 4
LCM(4904,4908) = 6017208

Properties of LCM 4904 and 4908

(i) The LCM of 4908 and 4904 is associative

LCM of 4904 and 4908 = LCM of 4908 and 4904

Related Least Common Multiples of 4904

Related Least Common Multiples of 4908

Frequently Asked Questions on LCM of 4904 and 4908

1. What is the LCM of 4904 and 4908?

Answer: LCM of 4904 and 4908 is 6017208.

2. What are the Factors of 4904?

Answer: Factors of 4904 are 1, 2, 4, 8, 613, 1226, 2452, 4904. There are 8 integers that are factors of 4904. The greatest factor of 4904 is 4904.

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 4904 and 4908?

Answer:

Least Common Multiple of 4904 and 4908 = 6017208

Step 1: Find the prime factorization of 4904

4904 = 2 x 2 x 2 x 613

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 = 6017208 = 2 x 2 x 2 x 3 x 409 x 613

Step 4: Therefore, the least common multiple of 4904 and 4908 is 6017208.