Least Common Multiple of 6888 and 6893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6888 and 6893 the smallest integer that is 47478984 that is divisible by both numbers.

Least Common Multiple (LCM) of 6888 and 6893 is 47478984.

LCM(6888,6893) = 47478984

LCM of 6888 and 6893

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

LCM of:
and

Least Common Multiple of 6888 and 6893

LCM of 6888 and 6893 is 47478984

Least common multiple can be found by multiplying the highest exponent prime factors of 6888 and 6893. First we will calculate the prime factors of 6888 and 6893.

Prime Factorization of 6888


2 6888
2 3444
2 1722
3 861
7 287
41 41
1

Prime factors of 6888 are 2, 3, 7,41. Prime factorization of 6888 in exponential form is:

6888 = 23×31×71×411

Prime Factorization of 6893


61 6893
113 113
1

Prime factors of 6893 are 61,113. Prime factorization of 6893 in exponential form is:

6893 = 611×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 6888 and 6893.

LCM(6888,6893) = 23×31×71×411×611×1131
LCM(6888,6893) = 47478984

Factors of 6888

List of positive integer factors of 6888 that divides 6888 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 56, 82, 84, 123, 164, 168, 246, 287, 328, 492, 574, 861, 984, 1148, 1722, 2296, 3444, 6888

Factors of 6893

List of positive integer factors of 6893 that divides 6893 without a remainder.

1, 61, 113, 6893

Least Common Multiple of 6888 and 6893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6888 and 6893, than apply into the LCM equation.

GCF(6888,6893) = 1
LCM(6888,6893) = ( 6888 × 6893) / 1
LCM(6888,6893) = 47478984 / 1
LCM(6888,6893) = 47478984

Properties of LCM 6888 and 6893

(i) The LCM of 6893 and 6888 is associative

LCM of 6888 and 6893 = LCM of 6893 and 6888

Related Least Common Multiples of 6888

Related Least Common Multiples of 6893

Frequently Asked Questions on LCM of 6888 and 6893

1. What is the LCM of 6888 and 6893?

Answer: LCM of 6888 and 6893 is 47478984.

2. What are the Factors of 6888?

Answer: Factors of 6888 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 41, 42, 56, 82, 84, 123, 164, 168, 246, 287, 328, 492, 574, 861, 984, 1148, 1722, 2296, 3444, 6888. There are 32 integers that are factors of 6888. The greatest factor of 6888 is 6888.

3. What are the Factors of 6893?

Answer: Factors of 6893 are 1, 61, 113, 6893. There are 4 integers that are factors of 6893. The greatest factor of 6893 is 6893.

4. How to Find the LCM of 6888 and 6893?

Answer:

Least Common Multiple of 6888 and 6893 = 47478984

Step 1: Find the prime factorization of 6888

6888 = 2 x 2 x 2 x 3 x 7 x 41

Step 2: Find the prime factorization of 6893

6893 = 61 x 113

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

LCM = 47478984 = 2 x 2 x 2 x 3 x 7 x 41 x 61 x 113

Step 4: Therefore, the least common multiple of 6888 and 6893 is 47478984.