Least Common Multiple of 6893 and 6899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6893 and 6899 the smallest integer that is 47554807 that is divisible by both numbers.

Least Common Multiple (LCM) of 6893 and 6899 is 47554807.

LCM(6893,6899) = 47554807

LCM of 6893 and 6899

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

LCM of:
and

Least Common Multiple of 6893 and 6899

LCM of 6893 and 6899 is 47554807

Least common multiple can be found by multiplying the highest exponent prime factors of 6893 and 6899. First we will calculate the prime factors of 6893 and 6899.

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

Prime Factorization of 6899


6899 6899
1

Prime factors of 6899 are 6899. Prime factorization of 6899 in exponential form is:

6899 = 68991

Now multiplying the highest exponent prime factors to calculate the LCM of 6893 and 6899.

LCM(6893,6899) = 611×1131×68991
LCM(6893,6899) = 47554807

Factors of 6893

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

1, 61, 113, 6893

Factors of 6899

List of positive integer factors of 6899 that divides 6899 without a remainder.

1, 6899

Least Common Multiple of 6893 and 6899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6893 and 6899, than apply into the LCM equation.

GCF(6893,6899) = 1
LCM(6893,6899) = ( 6893 × 6899) / 1
LCM(6893,6899) = 47554807 / 1
LCM(6893,6899) = 47554807

Properties of LCM 6893 and 6899

(i) The LCM of 6899 and 6893 is associative

LCM of 6893 and 6899 = LCM of 6899 and 6893

Related Least Common Multiples of 6893

Related Least Common Multiples of 6899

Frequently Asked Questions on LCM of 6893 and 6899

1. What is the LCM of 6893 and 6899?

Answer: LCM of 6893 and 6899 is 47554807.

2. 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.

3. What are the Factors of 6899?

Answer: Factors of 6899 are 1, 6899. There are 2 integers that are factors of 6899. The greatest factor of 6899 is 6899.

4. How to Find the LCM of 6893 and 6899?

Answer:

Least Common Multiple of 6893 and 6899 = 47554807

Step 1: Find the prime factorization of 6893

6893 = 61 x 113

Step 2: Find the prime factorization of 6899

6899 = 6899

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

LCM = 47554807 = 61 x 113 x 6899

Step 4: Therefore, the least common multiple of 6893 and 6899 is 47554807.