Least Common Multiple of 7895 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 7895 and 7902 the smallest integer that is 62386290 that is divisible by both numbers.

Least Common Multiple (LCM) of 7895 and 7902 is 62386290.

LCM(7895,7902) = 62386290

LCM of 7895 and 7902

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

LCM of:
and

Least Common Multiple of 7895 and 7902

LCM of 7895 and 7902 is 62386290

Least common multiple can be found by multiplying the highest exponent prime factors of 7895 and 7902. First we will calculate the prime factors of 7895 and 7902.

Prime Factorization of 7895


5 7895
1579 1579
1

Prime factors of 7895 are 5,1579. Prime factorization of 7895 in exponential form is:

7895 = 51×15791

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 7895 and 7902.

LCM(7895,7902) = 21×32×51×4391×15791
LCM(7895,7902) = 62386290

Factors of 7895

List of positive integer factors of 7895 that divides 7895 without a remainder.

1, 5, 1579, 7895

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 7895 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 7895 and 7902, than apply into the LCM equation.

GCF(7895,7902) = 1
LCM(7895,7902) = ( 7895 × 7902) / 1
LCM(7895,7902) = 62386290 / 1
LCM(7895,7902) = 62386290

Properties of LCM 7895 and 7902

(i) The LCM of 7902 and 7895 is associative

LCM of 7895 and 7902 = LCM of 7902 and 7895

Related Least Common Multiples of 7895

Related Least Common Multiples of 7902

Frequently Asked Questions on LCM of 7895 and 7902

1. What is the LCM of 7895 and 7902?

Answer: LCM of 7895 and 7902 is 62386290.

2. What are the Factors of 7895?

Answer: Factors of 7895 are 1, 5, 1579, 7895. There are 4 integers that are factors of 7895. The greatest factor of 7895 is 7895.

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 7895 and 7902?

Answer:

Least Common Multiple of 7895 and 7902 = 62386290

Step 1: Find the prime factorization of 7895

7895 = 5 x 1579

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 = 62386290 = 2 x 3 x 3 x 5 x 439 x 1579

Step 4: Therefore, the least common multiple of 7895 and 7902 is 62386290.