Least Common Multiple of 4798 and 4802

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 4802 the smallest integer that is 11519998 that is divisible by both numbers.

Least Common Multiple (LCM) of 4798 and 4802 is 11519998.

LCM(4798,4802) = 11519998

LCM of 4798 and 4802

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

LCM of:
and

Least Common Multiple of 4798 and 4802

LCM of 4798 and 4802 is 11519998

Least common multiple can be found by multiplying the highest exponent prime factors of 4798 and 4802. First we will calculate the prime factors of 4798 and 4802.

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 4802


2 4802
7 2401
7 343
7 49
7 7
1

Prime factors of 4802 are 2,7. Prime factorization of 4802 in exponential form is:

4802 = 21×74

Now multiplying the highest exponent prime factors to calculate the LCM of 4798 and 4802.

LCM(4798,4802) = 21×74×23991
LCM(4798,4802) = 11519998

Factors of 4798

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

1, 2, 2399, 4798

Factors of 4802

List of positive integer factors of 4802 that divides 4802 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686, 2401, 4802

Least Common Multiple of 4798 and 4802 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 4802, than apply into the LCM equation.

GCF(4798,4802) = 2
LCM(4798,4802) = ( 4798 × 4802) / 2
LCM(4798,4802) = 23039996 / 2
LCM(4798,4802) = 11519998

Properties of LCM 4798 and 4802

(i) The LCM of 4802 and 4798 is associative

LCM of 4798 and 4802 = LCM of 4802 and 4798

Related Least Common Multiples of 4798

Related Least Common Multiples of 4802

Frequently Asked Questions on LCM of 4798 and 4802

1. What is the LCM of 4798 and 4802?

Answer: LCM of 4798 and 4802 is 11519998.

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 4802?

Answer: Factors of 4802 are 1, 2, 7, 14, 49, 98, 343, 686, 2401, 4802. There are 10 integers that are factors of 4802. The greatest factor of 4802 is 4802.

4. How to Find the LCM of 4798 and 4802?

Answer:

Least Common Multiple of 4798 and 4802 = 11519998

Step 1: Find the prime factorization of 4798

4798 = 2 x 2399

Step 2: Find the prime factorization of 4802

4802 = 2 x 7 x 7 x 7 x 7

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

LCM = 11519998 = 2 x 7 x 7 x 7 x 7 x 2399

Step 4: Therefore, the least common multiple of 4798 and 4802 is 11519998.