Least Common Multiple of 4850 and 4854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4850 and 4854 the smallest integer that is 11770950 that is divisible by both numbers.

Least Common Multiple (LCM) of 4850 and 4854 is 11770950.

LCM(4850,4854) = 11770950

LCM of 4850 and 4854

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

LCM of:
and

Least Common Multiple of 4850 and 4854

LCM of 4850 and 4854 is 11770950

Least common multiple can be found by multiplying the highest exponent prime factors of 4850 and 4854. First we will calculate the prime factors of 4850 and 4854.

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

Prime Factorization of 4854


2 4854
3 2427
809 809
1

Prime factors of 4854 are 2, 3,809. Prime factorization of 4854 in exponential form is:

4854 = 21×31×8091

Now multiplying the highest exponent prime factors to calculate the LCM of 4850 and 4854.

LCM(4850,4854) = 21×31×52×971×8091
LCM(4850,4854) = 11770950

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

Factors of 4854

List of positive integer factors of 4854 that divides 4854 without a remainder.

1, 2, 3, 6, 809, 1618, 2427, 4854

Least Common Multiple of 4850 and 4854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4850 and 4854, than apply into the LCM equation.

GCF(4850,4854) = 2
LCM(4850,4854) = ( 4850 × 4854) / 2
LCM(4850,4854) = 23541900 / 2
LCM(4850,4854) = 11770950

Properties of LCM 4850 and 4854

(i) The LCM of 4854 and 4850 is associative

LCM of 4850 and 4854 = LCM of 4854 and 4850

Related Least Common Multiples of 4850

Related Least Common Multiples of 4854

Frequently Asked Questions on LCM of 4850 and 4854

1. What is the LCM of 4850 and 4854?

Answer: LCM of 4850 and 4854 is 11770950.

2. 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.

3. What are the Factors of 4854?

Answer: Factors of 4854 are 1, 2, 3, 6, 809, 1618, 2427, 4854. There are 8 integers that are factors of 4854. The greatest factor of 4854 is 4854.

4. How to Find the LCM of 4850 and 4854?

Answer:

Least Common Multiple of 4850 and 4854 = 11770950

Step 1: Find the prime factorization of 4850

4850 = 2 x 5 x 5 x 97

Step 2: Find the prime factorization of 4854

4854 = 2 x 3 x 809

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

LCM = 11770950 = 2 x 3 x 5 x 5 x 97 x 809

Step 4: Therefore, the least common multiple of 4850 and 4854 is 11770950.