Least Common Multiple of 4845 and 4850

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 4850 the smallest integer that is 4699650 that is divisible by both numbers.

Least Common Multiple (LCM) of 4845 and 4850 is 4699650.

LCM(4845,4850) = 4699650

LCM of 4845 and 4850

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

LCM of:
and

Least Common Multiple of 4845 and 4850

LCM of 4845 and 4850 is 4699650

Least common multiple can be found by multiplying the highest exponent prime factors of 4845 and 4850. First we will calculate the prime factors of 4845 and 4850.

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 4850


2 4850
5 2425
5 485
97 97
1

Prime factors of 4850 are 2, 5,97. Prime factorization of 4850 in exponential form is:

4850 = 21×52×971

Now multiplying the highest exponent prime factors to calculate the LCM of 4845 and 4850.

LCM(4845,4850) = 21×31×52×171×191×971
LCM(4845,4850) = 4699650

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 4850

List of positive integer factors of 4850 that divides 4850 without a remainder.

1, 2, 5, 10, 25, 50, 97, 194, 485, 970, 2425, 4850

Least Common Multiple of 4845 and 4850 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 4850, than apply into the LCM equation.

GCF(4845,4850) = 5
LCM(4845,4850) = ( 4845 × 4850) / 5
LCM(4845,4850) = 23498250 / 5
LCM(4845,4850) = 4699650

Properties of LCM 4845 and 4850

(i) The LCM of 4850 and 4845 is associative

LCM of 4845 and 4850 = LCM of 4850 and 4845

Related Least Common Multiples of 4845

Related Least Common Multiples of 4850

Frequently Asked Questions on LCM of 4845 and 4850

1. What is the LCM of 4845 and 4850?

Answer: LCM of 4845 and 4850 is 4699650.

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 4850?

Answer: Factors of 4850 are 1, 2, 5, 10, 25, 50, 97, 194, 485, 970, 2425, 4850. There are 12 integers that are factors of 4850. The greatest factor of 4850 is 4850.

4. How to Find the LCM of 4845 and 4850?

Answer:

Least Common Multiple of 4845 and 4850 = 4699650

Step 1: Find the prime factorization of 4845

4845 = 3 x 5 x 17 x 19

Step 2: Find the prime factorization of 4850

4850 = 2 x 5 x 5 x 97

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

LCM = 4699650 = 2 x 3 x 5 x 5 x 17 x 19 x 97

Step 4: Therefore, the least common multiple of 4845 and 4850 is 4699650.