Least Common Multiple of 7891 and 7896

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7891 and 7896 the smallest integer that is 62307336 that is divisible by both numbers.

Least Common Multiple (LCM) of 7891 and 7896 is 62307336.

LCM(7891,7896) = 62307336

LCM of 7891 and 7896

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

LCM of:
and

Least Common Multiple of 7891 and 7896

LCM of 7891 and 7896 is 62307336

Least common multiple can be found by multiplying the highest exponent prime factors of 7891 and 7896. First we will calculate the prime factors of 7891 and 7896.

Prime Factorization of 7891


13 7891
607 607
1

Prime factors of 7891 are 13,607. Prime factorization of 7891 in exponential form is:

7891 = 131×6071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7891 and 7896.

LCM(7891,7896) = 23×31×71×131×471×6071
LCM(7891,7896) = 62307336

Factors of 7891

List of positive integer factors of 7891 that divides 7891 without a remainder.

1, 13, 607, 7891

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

Least Common Multiple of 7891 and 7896 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7891 and 7896, than apply into the LCM equation.

GCF(7891,7896) = 1
LCM(7891,7896) = ( 7891 × 7896) / 1
LCM(7891,7896) = 62307336 / 1
LCM(7891,7896) = 62307336

Properties of LCM 7891 and 7896

(i) The LCM of 7896 and 7891 is associative

LCM of 7891 and 7896 = LCM of 7896 and 7891

Related Least Common Multiples of 7891

Related Least Common Multiples of 7896

Frequently Asked Questions on LCM of 7891 and 7896

1. What is the LCM of 7891 and 7896?

Answer: LCM of 7891 and 7896 is 62307336.

2. What are the Factors of 7891?

Answer: Factors of 7891 are 1, 13, 607, 7891. There are 4 integers that are factors of 7891. The greatest factor of 7891 is 7891.

3. 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.

4. How to Find the LCM of 7891 and 7896?

Answer:

Least Common Multiple of 7891 and 7896 = 62307336

Step 1: Find the prime factorization of 7891

7891 = 13 x 607

Step 2: Find the prime factorization of 7896

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

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

LCM = 62307336 = 2 x 2 x 2 x 3 x 7 x 13 x 47 x 607

Step 4: Therefore, the least common multiple of 7891 and 7896 is 62307336.