Least Common Multiple of 4904 and 4906

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 4906 the smallest integer that is 12029512 that is divisible by both numbers.

Least Common Multiple (LCM) of 4904 and 4906 is 12029512.

LCM(4904,4906) = 12029512

LCM of 4904 and 4906

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

LCM of:
and

Least Common Multiple of 4904 and 4906

LCM of 4904 and 4906 is 12029512

Least common multiple can be found by multiplying the highest exponent prime factors of 4904 and 4906. First we will calculate the prime factors of 4904 and 4906.

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 4906


2 4906
11 2453
223 223
1

Prime factors of 4906 are 2, 11,223. Prime factorization of 4906 in exponential form is:

4906 = 21×111×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 4904 and 4906.

LCM(4904,4906) = 23×111×2231×6131
LCM(4904,4906) = 12029512

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 4906

List of positive integer factors of 4906 that divides 4906 without a remainder.

1, 2, 11, 22, 223, 446, 2453, 4906

Least Common Multiple of 4904 and 4906 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 4906, than apply into the LCM equation.

GCF(4904,4906) = 2
LCM(4904,4906) = ( 4904 × 4906) / 2
LCM(4904,4906) = 24059024 / 2
LCM(4904,4906) = 12029512

Properties of LCM 4904 and 4906

(i) The LCM of 4906 and 4904 is associative

LCM of 4904 and 4906 = LCM of 4906 and 4904

Related Least Common Multiples of 4904

Related Least Common Multiples of 4906

Frequently Asked Questions on LCM of 4904 and 4906

1. What is the LCM of 4904 and 4906?

Answer: LCM of 4904 and 4906 is 12029512.

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 4906?

Answer: Factors of 4906 are 1, 2, 11, 22, 223, 446, 2453, 4906. There are 8 integers that are factors of 4906. The greatest factor of 4906 is 4906.

4. How to Find the LCM of 4904 and 4906?

Answer:

Least Common Multiple of 4904 and 4906 = 12029512

Step 1: Find the prime factorization of 4904

4904 = 2 x 2 x 2 x 613

Step 2: Find the prime factorization of 4906

4906 = 2 x 11 x 223

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

LCM = 12029512 = 2 x 2 x 2 x 11 x 223 x 613

Step 4: Therefore, the least common multiple of 4904 and 4906 is 12029512.