Least Common Multiple of 7894 and 7899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7894 and 7899 the smallest integer that is 62354706 that is divisible by both numbers.

Least Common Multiple (LCM) of 7894 and 7899 is 62354706.

LCM(7894,7899) = 62354706

LCM of 7894 and 7899

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

LCM of:
and

Least Common Multiple of 7894 and 7899

LCM of 7894 and 7899 is 62354706

Least common multiple can be found by multiplying the highest exponent prime factors of 7894 and 7899. First we will calculate the prime factors of 7894 and 7899.

Prime Factorization of 7894


2 7894
3947 3947
1

Prime factors of 7894 are 2,3947. Prime factorization of 7894 in exponential form is:

7894 = 21×39471

Prime Factorization of 7899


3 7899
2633 2633
1

Prime factors of 7899 are 3,2633. Prime factorization of 7899 in exponential form is:

7899 = 31×26331

Now multiplying the highest exponent prime factors to calculate the LCM of 7894 and 7899.

LCM(7894,7899) = 21×31×26331×39471
LCM(7894,7899) = 62354706

Factors of 7894

List of positive integer factors of 7894 that divides 7894 without a remainder.

1, 2, 3947, 7894

Factors of 7899

List of positive integer factors of 7899 that divides 7899 without a remainder.

1, 3, 2633, 7899

Least Common Multiple of 7894 and 7899 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7894 and 7899, than apply into the LCM equation.

GCF(7894,7899) = 1
LCM(7894,7899) = ( 7894 × 7899) / 1
LCM(7894,7899) = 62354706 / 1
LCM(7894,7899) = 62354706

Properties of LCM 7894 and 7899

(i) The LCM of 7899 and 7894 is associative

LCM of 7894 and 7899 = LCM of 7899 and 7894

Related Least Common Multiples of 7894

Related Least Common Multiples of 7899

Frequently Asked Questions on LCM of 7894 and 7899

1. What is the LCM of 7894 and 7899?

Answer: LCM of 7894 and 7899 is 62354706.

2. What are the Factors of 7894?

Answer: Factors of 7894 are 1, 2, 3947, 7894. There are 4 integers that are factors of 7894. The greatest factor of 7894 is 7894.

3. What are the Factors of 7899?

Answer: Factors of 7899 are 1, 3, 2633, 7899. There are 4 integers that are factors of 7899. The greatest factor of 7899 is 7899.

4. How to Find the LCM of 7894 and 7899?

Answer:

Least Common Multiple of 7894 and 7899 = 62354706

Step 1: Find the prime factorization of 7894

7894 = 2 x 3947

Step 2: Find the prime factorization of 7899

7899 = 3 x 2633

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

LCM = 62354706 = 2 x 3 x 2633 x 3947

Step 4: Therefore, the least common multiple of 7894 and 7899 is 62354706.