Least Common Multiple of 6677 and 6684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6677 and 6684 the smallest integer that is 44629068 that is divisible by both numbers.

Least Common Multiple (LCM) of 6677 and 6684 is 44629068.

LCM(6677,6684) = 44629068

LCM of 6677 and 6684

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

LCM of:
and

Least Common Multiple of 6677 and 6684

LCM of 6677 and 6684 is 44629068

Least common multiple can be found by multiplying the highest exponent prime factors of 6677 and 6684. First we will calculate the prime factors of 6677 and 6684.

Prime Factorization of 6677


11 6677
607 607
1

Prime factors of 6677 are 11,607. Prime factorization of 6677 in exponential form is:

6677 = 111×6071

Prime Factorization of 6684


2 6684
2 3342
3 1671
557 557
1

Prime factors of 6684 are 2, 3,557. Prime factorization of 6684 in exponential form is:

6684 = 22×31×5571

Now multiplying the highest exponent prime factors to calculate the LCM of 6677 and 6684.

LCM(6677,6684) = 22×31×111×5571×6071
LCM(6677,6684) = 44629068

Factors of 6677

List of positive integer factors of 6677 that divides 6677 without a remainder.

1, 11, 607, 6677

Factors of 6684

List of positive integer factors of 6684 that divides 6684 without a remainder.

1, 2, 3, 4, 6, 12, 557, 1114, 1671, 2228, 3342, 6684

Least Common Multiple of 6677 and 6684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6677 and 6684, than apply into the LCM equation.

GCF(6677,6684) = 1
LCM(6677,6684) = ( 6677 × 6684) / 1
LCM(6677,6684) = 44629068 / 1
LCM(6677,6684) = 44629068

Properties of LCM 6677 and 6684

(i) The LCM of 6684 and 6677 is associative

LCM of 6677 and 6684 = LCM of 6684 and 6677

Related Least Common Multiples of 6677

Related Least Common Multiples of 6684

Frequently Asked Questions on LCM of 6677 and 6684

1. What is the LCM of 6677 and 6684?

Answer: LCM of 6677 and 6684 is 44629068.

2. What are the Factors of 6677?

Answer: Factors of 6677 are 1, 11, 607, 6677. There are 4 integers that are factors of 6677. The greatest factor of 6677 is 6677.

3. What are the Factors of 6684?

Answer: Factors of 6684 are 1, 2, 3, 4, 6, 12, 557, 1114, 1671, 2228, 3342, 6684. There are 12 integers that are factors of 6684. The greatest factor of 6684 is 6684.

4. How to Find the LCM of 6677 and 6684?

Answer:

Least Common Multiple of 6677 and 6684 = 44629068

Step 1: Find the prime factorization of 6677

6677 = 11 x 607

Step 2: Find the prime factorization of 6684

6684 = 2 x 2 x 3 x 557

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

LCM = 44629068 = 2 x 2 x 3 x 11 x 557 x 607

Step 4: Therefore, the least common multiple of 6677 and 6684 is 44629068.