Least Common Multiple of 4896 and 4897

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 4897 the smallest integer that is 23975712 that is divisible by both numbers.

Least Common Multiple (LCM) of 4896 and 4897 is 23975712.

LCM(4896,4897) = 23975712

LCM of 4896 and 4897

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

LCM of:
and

Least Common Multiple of 4896 and 4897

LCM of 4896 and 4897 is 23975712

Least common multiple can be found by multiplying the highest exponent prime factors of 4896 and 4897. First we will calculate the prime factors of 4896 and 4897.

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 4897


59 4897
83 83
1

Prime factors of 4897 are 59,83. Prime factorization of 4897 in exponential form is:

4897 = 591×831

Now multiplying the highest exponent prime factors to calculate the LCM of 4896 and 4897.

LCM(4896,4897) = 25×32×171×591×831
LCM(4896,4897) = 23975712

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 4897

List of positive integer factors of 4897 that divides 4897 without a remainder.

1, 59, 83, 4897

Least Common Multiple of 4896 and 4897 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 4897, than apply into the LCM equation.

GCF(4896,4897) = 1
LCM(4896,4897) = ( 4896 × 4897) / 1
LCM(4896,4897) = 23975712 / 1
LCM(4896,4897) = 23975712

Properties of LCM 4896 and 4897

(i) The LCM of 4897 and 4896 is associative

LCM of 4896 and 4897 = LCM of 4897 and 4896

Related Least Common Multiples of 4896

Related Least Common Multiples of 4897

Frequently Asked Questions on LCM of 4896 and 4897

1. What is the LCM of 4896 and 4897?

Answer: LCM of 4896 and 4897 is 23975712.

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 4897?

Answer: Factors of 4897 are 1, 59, 83, 4897. There are 4 integers that are factors of 4897. The greatest factor of 4897 is 4897.

4. How to Find the LCM of 4896 and 4897?

Answer:

Least Common Multiple of 4896 and 4897 = 23975712

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 4897

4897 = 59 x 83

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

LCM = 23975712 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 59 x 83

Step 4: Therefore, the least common multiple of 4896 and 4897 is 23975712.