Least Common Multiple of 7832 and 7839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7832 and 7839 the smallest integer that is 61395048 that is divisible by both numbers.

Least Common Multiple (LCM) of 7832 and 7839 is 61395048.

LCM(7832,7839) = 61395048

LCM of 7832 and 7839

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

LCM of:
and

Least Common Multiple of 7832 and 7839

LCM of 7832 and 7839 is 61395048

Least common multiple can be found by multiplying the highest exponent prime factors of 7832 and 7839. First we will calculate the prime factors of 7832 and 7839.

Prime Factorization of 7832


2 7832
2 3916
2 1958
11 979
89 89
1

Prime factors of 7832 are 2, 11,89. Prime factorization of 7832 in exponential form is:

7832 = 23×111×891

Prime Factorization of 7839


3 7839
3 2613
13 871
67 67
1

Prime factors of 7839 are 3, 13,67. Prime factorization of 7839 in exponential form is:

7839 = 32×131×671

Now multiplying the highest exponent prime factors to calculate the LCM of 7832 and 7839.

LCM(7832,7839) = 23×32×111×131×671×891
LCM(7832,7839) = 61395048

Factors of 7832

List of positive integer factors of 7832 that divides 7832 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 89, 178, 356, 712, 979, 1958, 3916, 7832

Factors of 7839

List of positive integer factors of 7839 that divides 7839 without a remainder.

1, 3, 9, 13, 39, 67, 117, 201, 603, 871, 2613, 7839

Least Common Multiple of 7832 and 7839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7832 and 7839, than apply into the LCM equation.

GCF(7832,7839) = 1
LCM(7832,7839) = ( 7832 × 7839) / 1
LCM(7832,7839) = 61395048 / 1
LCM(7832,7839) = 61395048

Properties of LCM 7832 and 7839

(i) The LCM of 7839 and 7832 is associative

LCM of 7832 and 7839 = LCM of 7839 and 7832

Related Least Common Multiples of 7832

Related Least Common Multiples of 7839

Frequently Asked Questions on LCM of 7832 and 7839

1. What is the LCM of 7832 and 7839?

Answer: LCM of 7832 and 7839 is 61395048.

2. What are the Factors of 7832?

Answer: Factors of 7832 are 1, 2, 4, 8, 11, 22, 44, 88, 89, 178, 356, 712, 979, 1958, 3916, 7832. There are 16 integers that are factors of 7832. The greatest factor of 7832 is 7832.

3. What are the Factors of 7839?

Answer: Factors of 7839 are 1, 3, 9, 13, 39, 67, 117, 201, 603, 871, 2613, 7839. There are 12 integers that are factors of 7839. The greatest factor of 7839 is 7839.

4. How to Find the LCM of 7832 and 7839?

Answer:

Least Common Multiple of 7832 and 7839 = 61395048

Step 1: Find the prime factorization of 7832

7832 = 2 x 2 x 2 x 11 x 89

Step 2: Find the prime factorization of 7839

7839 = 3 x 3 x 13 x 67

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

LCM = 61395048 = 2 x 2 x 2 x 3 x 3 x 11 x 13 x 67 x 89

Step 4: Therefore, the least common multiple of 7832 and 7839 is 61395048.