Least Common Multiple of 6598 and 6602

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6598 and 6602 the smallest integer that is 21779998 that is divisible by both numbers.

Least Common Multiple (LCM) of 6598 and 6602 is 21779998.

LCM(6598,6602) = 21779998

LCM of 6598 and 6602

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

LCM of:
and

Least Common Multiple of 6598 and 6602

LCM of 6598 and 6602 is 21779998

Least common multiple can be found by multiplying the highest exponent prime factors of 6598 and 6602. First we will calculate the prime factors of 6598 and 6602.

Prime Factorization of 6598


2 6598
3299 3299
1

Prime factors of 6598 are 2,3299. Prime factorization of 6598 in exponential form is:

6598 = 21×32991

Prime Factorization of 6602


2 6602
3301 3301
1

Prime factors of 6602 are 2,3301. Prime factorization of 6602 in exponential form is:

6602 = 21×33011

Now multiplying the highest exponent prime factors to calculate the LCM of 6598 and 6602.

LCM(6598,6602) = 21×32991×33011
LCM(6598,6602) = 21779998

Factors of 6598

List of positive integer factors of 6598 that divides 6598 without a remainder.

1, 2, 3299, 6598

Factors of 6602

List of positive integer factors of 6602 that divides 6602 without a remainder.

1, 2, 3301, 6602

Least Common Multiple of 6598 and 6602 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6598 and 6602, than apply into the LCM equation.

GCF(6598,6602) = 2
LCM(6598,6602) = ( 6598 × 6602) / 2
LCM(6598,6602) = 43559996 / 2
LCM(6598,6602) = 21779998

Properties of LCM 6598 and 6602

(i) The LCM of 6602 and 6598 is associative

LCM of 6598 and 6602 = LCM of 6602 and 6598

Related Least Common Multiples of 6598

Related Least Common Multiples of 6602

Frequently Asked Questions on LCM of 6598 and 6602

1. What is the LCM of 6598 and 6602?

Answer: LCM of 6598 and 6602 is 21779998.

2. What are the Factors of 6598?

Answer: Factors of 6598 are 1, 2, 3299, 6598. There are 4 integers that are factors of 6598. The greatest factor of 6598 is 6598.

3. What are the Factors of 6602?

Answer: Factors of 6602 are 1, 2, 3301, 6602. There are 4 integers that are factors of 6602. The greatest factor of 6602 is 6602.

4. How to Find the LCM of 6598 and 6602?

Answer:

Least Common Multiple of 6598 and 6602 = 21779998

Step 1: Find the prime factorization of 6598

6598 = 2 x 3299

Step 2: Find the prime factorization of 6602

6602 = 2 x 3301

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

LCM = 21779998 = 2 x 3299 x 3301

Step 4: Therefore, the least common multiple of 6598 and 6602 is 21779998.