Least Common Multiple of 6921 and 6928

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6921 and 6928 the smallest integer that is 47948688 that is divisible by both numbers.

Least Common Multiple (LCM) of 6921 and 6928 is 47948688.

LCM(6921,6928) = 47948688

LCM of 6921 and 6928

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

LCM of:
and

Least Common Multiple of 6921 and 6928

LCM of 6921 and 6928 is 47948688

Least common multiple can be found by multiplying the highest exponent prime factors of 6921 and 6928. First we will calculate the prime factors of 6921 and 6928.

Prime Factorization of 6921


3 6921
3 2307
769 769
1

Prime factors of 6921 are 3,769. Prime factorization of 6921 in exponential form is:

6921 = 32×7691

Prime Factorization of 6928


2 6928
2 3464
2 1732
2 866
433 433
1

Prime factors of 6928 are 2,433. Prime factorization of 6928 in exponential form is:

6928 = 24×4331

Now multiplying the highest exponent prime factors to calculate the LCM of 6921 and 6928.

LCM(6921,6928) = 24×32×4331×7691
LCM(6921,6928) = 47948688

Factors of 6921

List of positive integer factors of 6921 that divides 6921 without a remainder.

1, 3, 9, 769, 2307, 6921

Factors of 6928

List of positive integer factors of 6928 that divides 6928 without a remainder.

1, 2, 4, 8, 16, 433, 866, 1732, 3464, 6928

Least Common Multiple of 6921 and 6928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6921 and 6928, than apply into the LCM equation.

GCF(6921,6928) = 1
LCM(6921,6928) = ( 6921 × 6928) / 1
LCM(6921,6928) = 47948688 / 1
LCM(6921,6928) = 47948688

Properties of LCM 6921 and 6928

(i) The LCM of 6928 and 6921 is associative

LCM of 6921 and 6928 = LCM of 6928 and 6921

Related Least Common Multiples of 6921

Related Least Common Multiples of 6928

Frequently Asked Questions on LCM of 6921 and 6928

1. What is the LCM of 6921 and 6928?

Answer: LCM of 6921 and 6928 is 47948688.

2. What are the Factors of 6921?

Answer: Factors of 6921 are 1, 3, 9, 769, 2307, 6921. There are 6 integers that are factors of 6921. The greatest factor of 6921 is 6921.

3. What are the Factors of 6928?

Answer: Factors of 6928 are 1, 2, 4, 8, 16, 433, 866, 1732, 3464, 6928. There are 10 integers that are factors of 6928. The greatest factor of 6928 is 6928.

4. How to Find the LCM of 6921 and 6928?

Answer:

Least Common Multiple of 6921 and 6928 = 47948688

Step 1: Find the prime factorization of 6921

6921 = 3 x 3 x 769

Step 2: Find the prime factorization of 6928

6928 = 2 x 2 x 2 x 2 x 433

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

LCM = 47948688 = 2 x 2 x 2 x 2 x 3 x 3 x 433 x 769

Step 4: Therefore, the least common multiple of 6921 and 6928 is 47948688.