Least Common Multiple of 7894 and 7902

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 7902 the smallest integer that is 31189194 that is divisible by both numbers.

Least Common Multiple (LCM) of 7894 and 7902 is 31189194.

LCM(7894,7902) = 31189194

LCM of 7894 and 7902

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

LCM of:
and

Least Common Multiple of 7894 and 7902

LCM of 7894 and 7902 is 31189194

Least common multiple can be found by multiplying the highest exponent prime factors of 7894 and 7902. First we will calculate the prime factors of 7894 and 7902.

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 7902


2 7902
3 3951
3 1317
439 439
1

Prime factors of 7902 are 2, 3,439. Prime factorization of 7902 in exponential form is:

7902 = 21×32×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 7894 and 7902.

LCM(7894,7902) = 21×32×4391×39471
LCM(7894,7902) = 31189194

Factors of 7894

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

1, 2, 3947, 7894

Factors of 7902

List of positive integer factors of 7902 that divides 7902 without a remainder.

1, 2, 3, 6, 9, 18, 439, 878, 1317, 2634, 3951, 7902

Least Common Multiple of 7894 and 7902 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 7902, than apply into the LCM equation.

GCF(7894,7902) = 2
LCM(7894,7902) = ( 7894 × 7902) / 2
LCM(7894,7902) = 62378388 / 2
LCM(7894,7902) = 31189194

Properties of LCM 7894 and 7902

(i) The LCM of 7902 and 7894 is associative

LCM of 7894 and 7902 = LCM of 7902 and 7894

Related Least Common Multiples of 7894

Related Least Common Multiples of 7902

Frequently Asked Questions on LCM of 7894 and 7902

1. What is the LCM of 7894 and 7902?

Answer: LCM of 7894 and 7902 is 31189194.

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 7902?

Answer: Factors of 7902 are 1, 2, 3, 6, 9, 18, 439, 878, 1317, 2634, 3951, 7902. There are 12 integers that are factors of 7902. The greatest factor of 7902 is 7902.

4. How to Find the LCM of 7894 and 7902?

Answer:

Least Common Multiple of 7894 and 7902 = 31189194

Step 1: Find the prime factorization of 7894

7894 = 2 x 3947

Step 2: Find the prime factorization of 7902

7902 = 2 x 3 x 3 x 439

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

LCM = 31189194 = 2 x 3 x 3 x 439 x 3947

Step 4: Therefore, the least common multiple of 7894 and 7902 is 31189194.