Least Common Multiple of 4896 and 4904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4896 and 4904 the smallest integer that is 3001248 that is divisible by both numbers.

Least Common Multiple (LCM) of 4896 and 4904 is 3001248.

LCM(4896,4904) = 3001248

LCM of 4896 and 4904

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

LCM of:
and

Least Common Multiple of 4896 and 4904

LCM of 4896 and 4904 is 3001248

Least common multiple can be found by multiplying the highest exponent prime factors of 4896 and 4904. First we will calculate the prime factors of 4896 and 4904.

Prime Factorization of 4896


2 4896
2 2448
2 1224
2 612
2 306
3 153
3 51
17 17
1

Prime factors of 4896 are 2, 3,17. Prime factorization of 4896 in exponential form is:

4896 = 25×32×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4896 and 4904.

LCM(4896,4904) = 25×32×171×6131
LCM(4896,4904) = 3001248

Factors of 4896

List of positive integer factors of 4896 that divides 4896 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448, 4896

Factors of 4904

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

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

Least Common Multiple of 4896 and 4904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4896 and 4904, than apply into the LCM equation.

GCF(4896,4904) = 8
LCM(4896,4904) = ( 4896 × 4904) / 8
LCM(4896,4904) = 24009984 / 8
LCM(4896,4904) = 3001248

Properties of LCM 4896 and 4904

(i) The LCM of 4904 and 4896 is associative

LCM of 4896 and 4904 = LCM of 4904 and 4896

Related Least Common Multiples of 4896

Related Least Common Multiples of 4904

Frequently Asked Questions on LCM of 4896 and 4904

1. What is the LCM of 4896 and 4904?

Answer: LCM of 4896 and 4904 is 3001248.

2. What are the Factors of 4896?

Answer: Factors of 4896 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 306, 408, 544, 612, 816, 1224, 1632, 2448, 4896. There are 36 integers that are factors of 4896. The greatest factor of 4896 is 4896.

3. 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.

4. How to Find the LCM of 4896 and 4904?

Answer:

Least Common Multiple of 4896 and 4904 = 3001248

Step 1: Find the prime factorization of 4896

4896 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17

Step 2: Find the prime factorization of 4904

4904 = 2 x 2 x 2 x 613

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

LCM = 3001248 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 613

Step 4: Therefore, the least common multiple of 4896 and 4904 is 3001248.