Least Common Multiple of 6677 and 6680

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 6680 the smallest integer that is 44602360 that is divisible by both numbers.

Least Common Multiple (LCM) of 6677 and 6680 is 44602360.

LCM(6677,6680) = 44602360

LCM of 6677 and 6680

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

LCM of:
and

Least Common Multiple of 6677 and 6680

LCM of 6677 and 6680 is 44602360

Least common multiple can be found by multiplying the highest exponent prime factors of 6677 and 6680. First we will calculate the prime factors of 6677 and 6680.

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 6680


2 6680
2 3340
2 1670
5 835
167 167
1

Prime factors of 6680 are 2, 5,167. Prime factorization of 6680 in exponential form is:

6680 = 23×51×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 6677 and 6680.

LCM(6677,6680) = 23×51×111×1671×6071
LCM(6677,6680) = 44602360

Factors of 6677

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

1, 11, 607, 6677

Factors of 6680

List of positive integer factors of 6680 that divides 6680 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 167, 334, 668, 835, 1336, 1670, 3340, 6680

Least Common Multiple of 6677 and 6680 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 6680, than apply into the LCM equation.

GCF(6677,6680) = 1
LCM(6677,6680) = ( 6677 × 6680) / 1
LCM(6677,6680) = 44602360 / 1
LCM(6677,6680) = 44602360

Properties of LCM 6677 and 6680

(i) The LCM of 6680 and 6677 is associative

LCM of 6677 and 6680 = LCM of 6680 and 6677

Related Least Common Multiples of 6677

Related Least Common Multiples of 6680

Frequently Asked Questions on LCM of 6677 and 6680

1. What is the LCM of 6677 and 6680?

Answer: LCM of 6677 and 6680 is 44602360.

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 6680?

Answer: Factors of 6680 are 1, 2, 4, 5, 8, 10, 20, 40, 167, 334, 668, 835, 1336, 1670, 3340, 6680. There are 16 integers that are factors of 6680. The greatest factor of 6680 is 6680.

4. How to Find the LCM of 6677 and 6680?

Answer:

Least Common Multiple of 6677 and 6680 = 44602360

Step 1: Find the prime factorization of 6677

6677 = 11 x 607

Step 2: Find the prime factorization of 6680

6680 = 2 x 2 x 2 x 5 x 167

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

LCM = 44602360 = 2 x 2 x 2 x 5 x 11 x 167 x 607

Step 4: Therefore, the least common multiple of 6677 and 6680 is 44602360.