Least Common Multiple of 7896 and 7901

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7896 and 7901 the smallest integer that is 62386296 that is divisible by both numbers.

Least Common Multiple (LCM) of 7896 and 7901 is 62386296.

LCM(7896,7901) = 62386296

LCM of 7896 and 7901

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

LCM of:
and

Least Common Multiple of 7896 and 7901

LCM of 7896 and 7901 is 62386296

Least common multiple can be found by multiplying the highest exponent prime factors of 7896 and 7901. First we will calculate the prime factors of 7896 and 7901.

Prime Factorization of 7896


2 7896
2 3948
2 1974
3 987
7 329
47 47
1

Prime factors of 7896 are 2, 3, 7,47. Prime factorization of 7896 in exponential form is:

7896 = 23×31×71×471

Prime Factorization of 7901


7901 7901
1

Prime factors of 7901 are 7901. Prime factorization of 7901 in exponential form is:

7901 = 79011

Now multiplying the highest exponent prime factors to calculate the LCM of 7896 and 7901.

LCM(7896,7901) = 23×31×71×471×79011
LCM(7896,7901) = 62386296

Factors of 7896

List of positive integer factors of 7896 that divides 7896 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 47, 56, 84, 94, 141, 168, 188, 282, 329, 376, 564, 658, 987, 1128, 1316, 1974, 2632, 3948, 7896

Factors of 7901

List of positive integer factors of 7901 that divides 7901 without a remainder.

1, 7901

Least Common Multiple of 7896 and 7901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7896 and 7901, than apply into the LCM equation.

GCF(7896,7901) = 1
LCM(7896,7901) = ( 7896 × 7901) / 1
LCM(7896,7901) = 62386296 / 1
LCM(7896,7901) = 62386296

Properties of LCM 7896 and 7901

(i) The LCM of 7901 and 7896 is associative

LCM of 7896 and 7901 = LCM of 7901 and 7896

Related Least Common Multiples of 7896

Related Least Common Multiples of 7901

Frequently Asked Questions on LCM of 7896 and 7901

1. What is the LCM of 7896 and 7901?

Answer: LCM of 7896 and 7901 is 62386296.

2. What are the Factors of 7896?

Answer: Factors of 7896 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 47, 56, 84, 94, 141, 168, 188, 282, 329, 376, 564, 658, 987, 1128, 1316, 1974, 2632, 3948, 7896. There are 32 integers that are factors of 7896. The greatest factor of 7896 is 7896.

3. What are the Factors of 7901?

Answer: Factors of 7901 are 1, 7901. There are 2 integers that are factors of 7901. The greatest factor of 7901 is 7901.

4. How to Find the LCM of 7896 and 7901?

Answer:

Least Common Multiple of 7896 and 7901 = 62386296

Step 1: Find the prime factorization of 7896

7896 = 2 x 2 x 2 x 3 x 7 x 47

Step 2: Find the prime factorization of 7901

7901 = 7901

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

LCM = 62386296 = 2 x 2 x 2 x 3 x 7 x 47 x 7901

Step 4: Therefore, the least common multiple of 7896 and 7901 is 62386296.