Least Common Multiple of 7832 and 7836

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 7836 the smallest integer that is 15342888 that is divisible by both numbers.

Least Common Multiple (LCM) of 7832 and 7836 is 15342888.

LCM(7832,7836) = 15342888

LCM of 7832 and 7836

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

LCM of:
and

Least Common Multiple of 7832 and 7836

LCM of 7832 and 7836 is 15342888

Least common multiple can be found by multiplying the highest exponent prime factors of 7832 and 7836. First we will calculate the prime factors of 7832 and 7836.

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 7836


2 7836
2 3918
3 1959
653 653
1

Prime factors of 7836 are 2, 3,653. Prime factorization of 7836 in exponential form is:

7836 = 22×31×6531

Now multiplying the highest exponent prime factors to calculate the LCM of 7832 and 7836.

LCM(7832,7836) = 23×31×111×891×6531
LCM(7832,7836) = 15342888

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 7836

List of positive integer factors of 7836 that divides 7836 without a remainder.

1, 2, 3, 4, 6, 12, 653, 1306, 1959, 2612, 3918, 7836

Least Common Multiple of 7832 and 7836 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 7836, than apply into the LCM equation.

GCF(7832,7836) = 4
LCM(7832,7836) = ( 7832 × 7836) / 4
LCM(7832,7836) = 61371552 / 4
LCM(7832,7836) = 15342888

Properties of LCM 7832 and 7836

(i) The LCM of 7836 and 7832 is associative

LCM of 7832 and 7836 = LCM of 7836 and 7832

Related Least Common Multiples of 7832

Related Least Common Multiples of 7836

Frequently Asked Questions on LCM of 7832 and 7836

1. What is the LCM of 7832 and 7836?

Answer: LCM of 7832 and 7836 is 15342888.

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 7836?

Answer: Factors of 7836 are 1, 2, 3, 4, 6, 12, 653, 1306, 1959, 2612, 3918, 7836. There are 12 integers that are factors of 7836. The greatest factor of 7836 is 7836.

4. How to Find the LCM of 7832 and 7836?

Answer:

Least Common Multiple of 7832 and 7836 = 15342888

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 7836

7836 = 2 x 2 x 3 x 653

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

LCM = 15342888 = 2 x 2 x 2 x 3 x 11 x 89 x 653

Step 4: Therefore, the least common multiple of 7832 and 7836 is 15342888.