Least Common Multiple of 6677 and 6685

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 6685 the smallest integer that is 44635745 that is divisible by both numbers.

Least Common Multiple (LCM) of 6677 and 6685 is 44635745.

LCM(6677,6685) = 44635745

LCM of 6677 and 6685

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

LCM of:
and

Least Common Multiple of 6677 and 6685

LCM of 6677 and 6685 is 44635745

Least common multiple can be found by multiplying the highest exponent prime factors of 6677 and 6685. First we will calculate the prime factors of 6677 and 6685.

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 6685


5 6685
7 1337
191 191
1

Prime factors of 6685 are 5, 7,191. Prime factorization of 6685 in exponential form is:

6685 = 51×71×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 6677 and 6685.

LCM(6677,6685) = 51×71×111×1911×6071
LCM(6677,6685) = 44635745

Factors of 6677

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

1, 11, 607, 6677

Factors of 6685

List of positive integer factors of 6685 that divides 6685 without a remainder.

1, 5, 7, 35, 191, 955, 1337, 6685

Least Common Multiple of 6677 and 6685 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 6685, than apply into the LCM equation.

GCF(6677,6685) = 1
LCM(6677,6685) = ( 6677 × 6685) / 1
LCM(6677,6685) = 44635745 / 1
LCM(6677,6685) = 44635745

Properties of LCM 6677 and 6685

(i) The LCM of 6685 and 6677 is associative

LCM of 6677 and 6685 = LCM of 6685 and 6677

Related Least Common Multiples of 6677

Related Least Common Multiples of 6685

Frequently Asked Questions on LCM of 6677 and 6685

1. What is the LCM of 6677 and 6685?

Answer: LCM of 6677 and 6685 is 44635745.

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 6685?

Answer: Factors of 6685 are 1, 5, 7, 35, 191, 955, 1337, 6685. There are 8 integers that are factors of 6685. The greatest factor of 6685 is 6685.

4. How to Find the LCM of 6677 and 6685?

Answer:

Least Common Multiple of 6677 and 6685 = 44635745

Step 1: Find the prime factorization of 6677

6677 = 11 x 607

Step 2: Find the prime factorization of 6685

6685 = 5 x 7 x 191

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

LCM = 44635745 = 5 x 7 x 11 x 191 x 607

Step 4: Therefore, the least common multiple of 6677 and 6685 is 44635745.