Least Common Multiple of 4896 and 4898

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 4898 the smallest integer that is 11990304 that is divisible by both numbers.

Least Common Multiple (LCM) of 4896 and 4898 is 11990304.

LCM(4896,4898) = 11990304

LCM of 4896 and 4898

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

LCM of:
and

Least Common Multiple of 4896 and 4898

LCM of 4896 and 4898 is 11990304

Least common multiple can be found by multiplying the highest exponent prime factors of 4896 and 4898. First we will calculate the prime factors of 4896 and 4898.

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 4898


2 4898
31 2449
79 79
1

Prime factors of 4898 are 2, 31,79. Prime factorization of 4898 in exponential form is:

4898 = 21×311×791

Now multiplying the highest exponent prime factors to calculate the LCM of 4896 and 4898.

LCM(4896,4898) = 25×32×171×311×791
LCM(4896,4898) = 11990304

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 4898

List of positive integer factors of 4898 that divides 4898 without a remainder.

1, 2, 31, 62, 79, 158, 2449, 4898

Least Common Multiple of 4896 and 4898 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 4898, than apply into the LCM equation.

GCF(4896,4898) = 2
LCM(4896,4898) = ( 4896 × 4898) / 2
LCM(4896,4898) = 23980608 / 2
LCM(4896,4898) = 11990304

Properties of LCM 4896 and 4898

(i) The LCM of 4898 and 4896 is associative

LCM of 4896 and 4898 = LCM of 4898 and 4896

Related Least Common Multiples of 4896

Related Least Common Multiples of 4898

Frequently Asked Questions on LCM of 4896 and 4898

1. What is the LCM of 4896 and 4898?

Answer: LCM of 4896 and 4898 is 11990304.

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 4898?

Answer: Factors of 4898 are 1, 2, 31, 62, 79, 158, 2449, 4898. There are 8 integers that are factors of 4898. The greatest factor of 4898 is 4898.

4. How to Find the LCM of 4896 and 4898?

Answer:

Least Common Multiple of 4896 and 4898 = 11990304

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 4898

4898 = 2 x 31 x 79

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

LCM = 11990304 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 31 x 79

Step 4: Therefore, the least common multiple of 4896 and 4898 is 11990304.