Least Common Multiple of 6599 and 6607

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6599 and 6607 the smallest integer that is 43599593 that is divisible by both numbers.

Least Common Multiple (LCM) of 6599 and 6607 is 43599593.

LCM(6599,6607) = 43599593

LCM of 6599 and 6607

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

LCM of:
and

Least Common Multiple of 6599 and 6607

LCM of 6599 and 6607 is 43599593

Least common multiple can be found by multiplying the highest exponent prime factors of 6599 and 6607. First we will calculate the prime factors of 6599 and 6607.

Prime Factorization of 6599


6599 6599
1

Prime factors of 6599 are 6599. Prime factorization of 6599 in exponential form is:

6599 = 65991

Prime Factorization of 6607


6607 6607
1

Prime factors of 6607 are 6607. Prime factorization of 6607 in exponential form is:

6607 = 66071

Now multiplying the highest exponent prime factors to calculate the LCM of 6599 and 6607.

LCM(6599,6607) = 65991×66071
LCM(6599,6607) = 43599593

Factors of 6599

List of positive integer factors of 6599 that divides 6599 without a remainder.

1, 6599

Factors of 6607

List of positive integer factors of 6607 that divides 6607 without a remainder.

1, 6607

Least Common Multiple of 6599 and 6607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6599 and 6607, than apply into the LCM equation.

GCF(6599,6607) = 1
LCM(6599,6607) = ( 6599 × 6607) / 1
LCM(6599,6607) = 43599593 / 1
LCM(6599,6607) = 43599593

Properties of LCM 6599 and 6607

(i) The LCM of 6607 and 6599 is associative

LCM of 6599 and 6607 = LCM of 6607 and 6599

Related Least Common Multiples of 6599

Related Least Common Multiples of 6607

Frequently Asked Questions on LCM of 6599 and 6607

1. What is the LCM of 6599 and 6607?

Answer: LCM of 6599 and 6607 is 43599593.

2. What are the Factors of 6599?

Answer: Factors of 6599 are 1, 6599. There are 2 integers that are factors of 6599. The greatest factor of 6599 is 6599.

3. What are the Factors of 6607?

Answer: Factors of 6607 are 1, 6607. There are 2 integers that are factors of 6607. The greatest factor of 6607 is 6607.

4. How to Find the LCM of 6599 and 6607?

Answer:

Least Common Multiple of 6599 and 6607 = 43599593

Step 1: Find the prime factorization of 6599

6599 = 6599

Step 2: Find the prime factorization of 6607

6607 = 6607

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

LCM = 43599593 = 6599 x 6607

Step 4: Therefore, the least common multiple of 6599 and 6607 is 43599593.