Least Common Multiple of 4892 and 4896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4892 and 4896 the smallest integer that is 5987808 that is divisible by both numbers.

Least Common Multiple (LCM) of 4892 and 4896 is 5987808.

LCM(4892,4896) = 5987808

LCM of 4892 and 4896

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

LCM of:
and

Least Common Multiple of 4892 and 4896

LCM of 4892 and 4896 is 5987808

Least common multiple can be found by multiplying the highest exponent prime factors of 4892 and 4896. First we will calculate the prime factors of 4892 and 4896.

Prime Factorization of 4892


2 4892
2 2446
1223 1223
1

Prime factors of 4892 are 2,1223. Prime factorization of 4892 in exponential form is:

4892 = 22×12231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4892 and 4896.

LCM(4892,4896) = 25×32×171×12231
LCM(4892,4896) = 5987808

Factors of 4892

List of positive integer factors of 4892 that divides 4892 without a remainder.

1, 2, 4, 1223, 2446, 4892

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

Least Common Multiple of 4892 and 4896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4892 and 4896, than apply into the LCM equation.

GCF(4892,4896) = 4
LCM(4892,4896) = ( 4892 × 4896) / 4
LCM(4892,4896) = 23951232 / 4
LCM(4892,4896) = 5987808

Properties of LCM 4892 and 4896

(i) The LCM of 4896 and 4892 is associative

LCM of 4892 and 4896 = LCM of 4896 and 4892

Related Least Common Multiples of 4892

Related Least Common Multiples of 4896

Frequently Asked Questions on LCM of 4892 and 4896

1. What is the LCM of 4892 and 4896?

Answer: LCM of 4892 and 4896 is 5987808.

2. What are the Factors of 4892?

Answer: Factors of 4892 are 1, 2, 4, 1223, 2446, 4892. There are 6 integers that are factors of 4892. The greatest factor of 4892 is 4892.

3. 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.

4. How to Find the LCM of 4892 and 4896?

Answer:

Least Common Multiple of 4892 and 4896 = 5987808

Step 1: Find the prime factorization of 4892

4892 = 2 x 2 x 1223

Step 2: Find the prime factorization of 4896

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

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

LCM = 5987808 = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 17 x 1223

Step 4: Therefore, the least common multiple of 4892 and 4896 is 5987808.