Least Common Multiple of 4798 and 4806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4798 and 4806 the smallest integer that is 11529594 that is divisible by both numbers.

Least Common Multiple (LCM) of 4798 and 4806 is 11529594.

LCM(4798,4806) = 11529594

LCM of 4798 and 4806

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

LCM of:
and

Least Common Multiple of 4798 and 4806

LCM of 4798 and 4806 is 11529594

Least common multiple can be found by multiplying the highest exponent prime factors of 4798 and 4806. First we will calculate the prime factors of 4798 and 4806.

Prime Factorization of 4798


2 4798
2399 2399
1

Prime factors of 4798 are 2,2399. Prime factorization of 4798 in exponential form is:

4798 = 21×23991

Prime Factorization of 4806


2 4806
3 2403
3 801
3 267
89 89
1

Prime factors of 4806 are 2, 3,89. Prime factorization of 4806 in exponential form is:

4806 = 21×33×891

Now multiplying the highest exponent prime factors to calculate the LCM of 4798 and 4806.

LCM(4798,4806) = 21×33×891×23991
LCM(4798,4806) = 11529594

Factors of 4798

List of positive integer factors of 4798 that divides 4798 without a remainder.

1, 2, 2399, 4798

Factors of 4806

List of positive integer factors of 4806 that divides 4806 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 89, 178, 267, 534, 801, 1602, 2403, 4806

Least Common Multiple of 4798 and 4806 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4798 and 4806, than apply into the LCM equation.

GCF(4798,4806) = 2
LCM(4798,4806) = ( 4798 × 4806) / 2
LCM(4798,4806) = 23059188 / 2
LCM(4798,4806) = 11529594

Properties of LCM 4798 and 4806

(i) The LCM of 4806 and 4798 is associative

LCM of 4798 and 4806 = LCM of 4806 and 4798

Related Least Common Multiples of 4798

Related Least Common Multiples of 4806

Frequently Asked Questions on LCM of 4798 and 4806

1. What is the LCM of 4798 and 4806?

Answer: LCM of 4798 and 4806 is 11529594.

2. What are the Factors of 4798?

Answer: Factors of 4798 are 1, 2, 2399, 4798. There are 4 integers that are factors of 4798. The greatest factor of 4798 is 4798.

3. What are the Factors of 4806?

Answer: Factors of 4806 are 1, 2, 3, 6, 9, 18, 27, 54, 89, 178, 267, 534, 801, 1602, 2403, 4806. There are 16 integers that are factors of 4806. The greatest factor of 4806 is 4806.

4. How to Find the LCM of 4798 and 4806?

Answer:

Least Common Multiple of 4798 and 4806 = 11529594

Step 1: Find the prime factorization of 4798

4798 = 2 x 2399

Step 2: Find the prime factorization of 4806

4806 = 2 x 3 x 3 x 3 x 89

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

LCM = 11529594 = 2 x 3 x 3 x 3 x 89 x 2399

Step 4: Therefore, the least common multiple of 4798 and 4806 is 11529594.