Least Common Multiple of 7894 and 7898

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 7898 the smallest integer that is 31173406 that is divisible by both numbers.

Least Common Multiple (LCM) of 7894 and 7898 is 31173406.

LCM(7894,7898) = 31173406

LCM of 7894 and 7898

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

LCM of:
and

Least Common Multiple of 7894 and 7898

LCM of 7894 and 7898 is 31173406

Least common multiple can be found by multiplying the highest exponent prime factors of 7894 and 7898. First we will calculate the prime factors of 7894 and 7898.

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 7898


2 7898
11 3949
359 359
1

Prime factors of 7898 are 2, 11,359. Prime factorization of 7898 in exponential form is:

7898 = 21×111×3591

Now multiplying the highest exponent prime factors to calculate the LCM of 7894 and 7898.

LCM(7894,7898) = 21×111×3591×39471
LCM(7894,7898) = 31173406

Factors of 7894

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

1, 2, 3947, 7894

Factors of 7898

List of positive integer factors of 7898 that divides 7898 without a remainder.

1, 2, 11, 22, 359, 718, 3949, 7898

Least Common Multiple of 7894 and 7898 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 7898, than apply into the LCM equation.

GCF(7894,7898) = 2
LCM(7894,7898) = ( 7894 × 7898) / 2
LCM(7894,7898) = 62346812 / 2
LCM(7894,7898) = 31173406

Properties of LCM 7894 and 7898

(i) The LCM of 7898 and 7894 is associative

LCM of 7894 and 7898 = LCM of 7898 and 7894

Related Least Common Multiples of 7894

Related Least Common Multiples of 7898

Frequently Asked Questions on LCM of 7894 and 7898

1. What is the LCM of 7894 and 7898?

Answer: LCM of 7894 and 7898 is 31173406.

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 7898?

Answer: Factors of 7898 are 1, 2, 11, 22, 359, 718, 3949, 7898. There are 8 integers that are factors of 7898. The greatest factor of 7898 is 7898.

4. How to Find the LCM of 7894 and 7898?

Answer:

Least Common Multiple of 7894 and 7898 = 31173406

Step 1: Find the prime factorization of 7894

7894 = 2 x 3947

Step 2: Find the prime factorization of 7898

7898 = 2 x 11 x 359

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

LCM = 31173406 = 2 x 11 x 359 x 3947

Step 4: Therefore, the least common multiple of 7894 and 7898 is 31173406.