Least Common Multiple of 4854 and 4857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4854 and 4857 the smallest integer that is 7858626 that is divisible by both numbers.

Least Common Multiple (LCM) of 4854 and 4857 is 7858626.

LCM(4854,4857) = 7858626

LCM of 4854 and 4857

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

LCM of:
and

Least Common Multiple of 4854 and 4857

LCM of 4854 and 4857 is 7858626

Least common multiple can be found by multiplying the highest exponent prime factors of 4854 and 4857. First we will calculate the prime factors of 4854 and 4857.

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

Prime Factorization of 4857


3 4857
1619 1619
1

Prime factors of 4857 are 3,1619. Prime factorization of 4857 in exponential form is:

4857 = 31×16191

Now multiplying the highest exponent prime factors to calculate the LCM of 4854 and 4857.

LCM(4854,4857) = 21×31×8091×16191
LCM(4854,4857) = 7858626

Factors of 4854

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

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

Factors of 4857

List of positive integer factors of 4857 that divides 4857 without a remainder.

1, 3, 1619, 4857

Least Common Multiple of 4854 and 4857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4854 and 4857, than apply into the LCM equation.

GCF(4854,4857) = 3
LCM(4854,4857) = ( 4854 × 4857) / 3
LCM(4854,4857) = 23575878 / 3
LCM(4854,4857) = 7858626

Properties of LCM 4854 and 4857

(i) The LCM of 4857 and 4854 is associative

LCM of 4854 and 4857 = LCM of 4857 and 4854

Related Least Common Multiples of 4854

Related Least Common Multiples of 4857

Frequently Asked Questions on LCM of 4854 and 4857

1. What is the LCM of 4854 and 4857?

Answer: LCM of 4854 and 4857 is 7858626.

2. 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.

3. What are the Factors of 4857?

Answer: Factors of 4857 are 1, 3, 1619, 4857. There are 4 integers that are factors of 4857. The greatest factor of 4857 is 4857.

4. How to Find the LCM of 4854 and 4857?

Answer:

Least Common Multiple of 4854 and 4857 = 7858626

Step 1: Find the prime factorization of 4854

4854 = 2 x 3 x 809

Step 2: Find the prime factorization of 4857

4857 = 3 x 1619

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

LCM = 7858626 = 2 x 3 x 809 x 1619

Step 4: Therefore, the least common multiple of 4854 and 4857 is 7858626.