Least Common Multiple of 4854 and 4858

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 4858 the smallest integer that is 11790366 that is divisible by both numbers.

Least Common Multiple (LCM) of 4854 and 4858 is 11790366.

LCM(4854,4858) = 11790366

LCM of 4854 and 4858

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

LCM of:
and

Least Common Multiple of 4854 and 4858

LCM of 4854 and 4858 is 11790366

Least common multiple can be found by multiplying the highest exponent prime factors of 4854 and 4858. First we will calculate the prime factors of 4854 and 4858.

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 4858


2 4858
7 2429
347 347
1

Prime factors of 4858 are 2, 7,347. Prime factorization of 4858 in exponential form is:

4858 = 21×71×3471

Now multiplying the highest exponent prime factors to calculate the LCM of 4854 and 4858.

LCM(4854,4858) = 21×31×71×3471×8091
LCM(4854,4858) = 11790366

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 4858

List of positive integer factors of 4858 that divides 4858 without a remainder.

1, 2, 7, 14, 347, 694, 2429, 4858

Least Common Multiple of 4854 and 4858 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 4858, than apply into the LCM equation.

GCF(4854,4858) = 2
LCM(4854,4858) = ( 4854 × 4858) / 2
LCM(4854,4858) = 23580732 / 2
LCM(4854,4858) = 11790366

Properties of LCM 4854 and 4858

(i) The LCM of 4858 and 4854 is associative

LCM of 4854 and 4858 = LCM of 4858 and 4854

Related Least Common Multiples of 4854

Related Least Common Multiples of 4858

Frequently Asked Questions on LCM of 4854 and 4858

1. What is the LCM of 4854 and 4858?

Answer: LCM of 4854 and 4858 is 11790366.

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 4858?

Answer: Factors of 4858 are 1, 2, 7, 14, 347, 694, 2429, 4858. There are 8 integers that are factors of 4858. The greatest factor of 4858 is 4858.

4. How to Find the LCM of 4854 and 4858?

Answer:

Least Common Multiple of 4854 and 4858 = 11790366

Step 1: Find the prime factorization of 4854

4854 = 2 x 3 x 809

Step 2: Find the prime factorization of 4858

4858 = 2 x 7 x 347

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

LCM = 11790366 = 2 x 3 x 7 x 347 x 809

Step 4: Therefore, the least common multiple of 4854 and 4858 is 11790366.