Least Common Multiple of 4904 and 4912

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 4912 the smallest integer that is 3011056 that is divisible by both numbers.

Least Common Multiple (LCM) of 4904 and 4912 is 3011056.

LCM(4904,4912) = 3011056

LCM of 4904 and 4912

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

LCM of:
and

Least Common Multiple of 4904 and 4912

LCM of 4904 and 4912 is 3011056

Least common multiple can be found by multiplying the highest exponent prime factors of 4904 and 4912. First we will calculate the prime factors of 4904 and 4912.

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 4912


2 4912
2 2456
2 1228
2 614
307 307
1

Prime factors of 4912 are 2,307. Prime factorization of 4912 in exponential form is:

4912 = 24×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 4904 and 4912.

LCM(4904,4912) = 24×3071×6131
LCM(4904,4912) = 3011056

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 4912

List of positive integer factors of 4912 that divides 4912 without a remainder.

1, 2, 4, 8, 16, 307, 614, 1228, 2456, 4912

Least Common Multiple of 4904 and 4912 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 4912, than apply into the LCM equation.

GCF(4904,4912) = 8
LCM(4904,4912) = ( 4904 × 4912) / 8
LCM(4904,4912) = 24088448 / 8
LCM(4904,4912) = 3011056

Properties of LCM 4904 and 4912

(i) The LCM of 4912 and 4904 is associative

LCM of 4904 and 4912 = LCM of 4912 and 4904

Related Least Common Multiples of 4904

Related Least Common Multiples of 4912

Frequently Asked Questions on LCM of 4904 and 4912

1. What is the LCM of 4904 and 4912?

Answer: LCM of 4904 and 4912 is 3011056.

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 4912?

Answer: Factors of 4912 are 1, 2, 4, 8, 16, 307, 614, 1228, 2456, 4912. There are 10 integers that are factors of 4912. The greatest factor of 4912 is 4912.

4. How to Find the LCM of 4904 and 4912?

Answer:

Least Common Multiple of 4904 and 4912 = 3011056

Step 1: Find the prime factorization of 4904

4904 = 2 x 2 x 2 x 613

Step 2: Find the prime factorization of 4912

4912 = 2 x 2 x 2 x 2 x 307

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

LCM = 3011056 = 2 x 2 x 2 x 2 x 307 x 613

Step 4: Therefore, the least common multiple of 4904 and 4912 is 3011056.