Least Common Multiple of 4845 and 4851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4845 and 4851 the smallest integer that is 7834365 that is divisible by both numbers.

Least Common Multiple (LCM) of 4845 and 4851 is 7834365.

LCM(4845,4851) = 7834365

LCM of 4845 and 4851

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

LCM of:
and

Least Common Multiple of 4845 and 4851

LCM of 4845 and 4851 is 7834365

Least common multiple can be found by multiplying the highest exponent prime factors of 4845 and 4851. First we will calculate the prime factors of 4845 and 4851.

Prime Factorization of 4845


3 4845
5 1615
17 323
19 19
1

Prime factors of 4845 are 3, 5, 17,19. Prime factorization of 4845 in exponential form is:

4845 = 31×51×171×191

Prime Factorization of 4851


3 4851
3 1617
7 539
7 77
11 11
1

Prime factors of 4851 are 3, 7,11. Prime factorization of 4851 in exponential form is:

4851 = 32×72×111

Now multiplying the highest exponent prime factors to calculate the LCM of 4845 and 4851.

LCM(4845,4851) = 32×51×72×111×171×191
LCM(4845,4851) = 7834365

Factors of 4845

List of positive integer factors of 4845 that divides 4845 without a remainder.

1, 3, 5, 15, 17, 19, 51, 57, 85, 95, 255, 285, 323, 969, 1615, 4845

Factors of 4851

List of positive integer factors of 4851 that divides 4851 without a remainder.

1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 147, 231, 441, 539, 693, 1617, 4851

Least Common Multiple of 4845 and 4851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4845 and 4851, than apply into the LCM equation.

GCF(4845,4851) = 3
LCM(4845,4851) = ( 4845 × 4851) / 3
LCM(4845,4851) = 23503095 / 3
LCM(4845,4851) = 7834365

Properties of LCM 4845 and 4851

(i) The LCM of 4851 and 4845 is associative

LCM of 4845 and 4851 = LCM of 4851 and 4845

Related Least Common Multiples of 4845

Related Least Common Multiples of 4851

Frequently Asked Questions on LCM of 4845 and 4851

1. What is the LCM of 4845 and 4851?

Answer: LCM of 4845 and 4851 is 7834365.

2. What are the Factors of 4845?

Answer: Factors of 4845 are 1, 3, 5, 15, 17, 19, 51, 57, 85, 95, 255, 285, 323, 969, 1615, 4845. There are 16 integers that are factors of 4845. The greatest factor of 4845 is 4845.

3. What are the Factors of 4851?

Answer: Factors of 4851 are 1, 3, 7, 9, 11, 21, 33, 49, 63, 77, 99, 147, 231, 441, 539, 693, 1617, 4851. There are 18 integers that are factors of 4851. The greatest factor of 4851 is 4851.

4. How to Find the LCM of 4845 and 4851?

Answer:

Least Common Multiple of 4845 and 4851 = 7834365

Step 1: Find the prime factorization of 4845

4845 = 3 x 5 x 17 x 19

Step 2: Find the prime factorization of 4851

4851 = 3 x 3 x 7 x 7 x 11

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

LCM = 7834365 = 3 x 3 x 5 x 7 x 7 x 11 x 17 x 19

Step 4: Therefore, the least common multiple of 4845 and 4851 is 7834365.