Least Common Multiple of 4858 and 4866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4858 and 4866 the smallest integer that is 11819514 that is divisible by both numbers.

Least Common Multiple (LCM) of 4858 and 4866 is 11819514.

LCM(4858,4866) = 11819514

LCM of 4858 and 4866

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

LCM of:
and

Least Common Multiple of 4858 and 4866

LCM of 4858 and 4866 is 11819514

Least common multiple can be found by multiplying the highest exponent prime factors of 4858 and 4866. First we will calculate the prime factors of 4858 and 4866.

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

Prime Factorization of 4866


2 4866
3 2433
811 811
1

Prime factors of 4866 are 2, 3,811. Prime factorization of 4866 in exponential form is:

4866 = 21×31×8111

Now multiplying the highest exponent prime factors to calculate the LCM of 4858 and 4866.

LCM(4858,4866) = 21×31×71×3471×8111
LCM(4858,4866) = 11819514

Factors of 4858

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

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

Factors of 4866

List of positive integer factors of 4866 that divides 4866 without a remainder.

1, 2, 3, 6, 811, 1622, 2433, 4866

Least Common Multiple of 4858 and 4866 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4858 and 4866, than apply into the LCM equation.

GCF(4858,4866) = 2
LCM(4858,4866) = ( 4858 × 4866) / 2
LCM(4858,4866) = 23639028 / 2
LCM(4858,4866) = 11819514

Properties of LCM 4858 and 4866

(i) The LCM of 4866 and 4858 is associative

LCM of 4858 and 4866 = LCM of 4866 and 4858

Related Least Common Multiples of 4858

Related Least Common Multiples of 4866

Frequently Asked Questions on LCM of 4858 and 4866

1. What is the LCM of 4858 and 4866?

Answer: LCM of 4858 and 4866 is 11819514.

2. 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.

3. What are the Factors of 4866?

Answer: Factors of 4866 are 1, 2, 3, 6, 811, 1622, 2433, 4866. There are 8 integers that are factors of 4866. The greatest factor of 4866 is 4866.

4. How to Find the LCM of 4858 and 4866?

Answer:

Least Common Multiple of 4858 and 4866 = 11819514

Step 1: Find the prime factorization of 4858

4858 = 2 x 7 x 347

Step 2: Find the prime factorization of 4866

4866 = 2 x 3 x 811

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

LCM = 11819514 = 2 x 3 x 7 x 347 x 811

Step 4: Therefore, the least common multiple of 4858 and 4866 is 11819514.