Least Common Multiple of 7832 and 7835

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 7835 the smallest integer that is 61363720 that is divisible by both numbers.

Least Common Multiple (LCM) of 7832 and 7835 is 61363720.

LCM(7832,7835) = 61363720

LCM of 7832 and 7835

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

LCM of:
and

Least Common Multiple of 7832 and 7835

LCM of 7832 and 7835 is 61363720

Least common multiple can be found by multiplying the highest exponent prime factors of 7832 and 7835. First we will calculate the prime factors of 7832 and 7835.

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 7835


5 7835
1567 1567
1

Prime factors of 7835 are 5,1567. Prime factorization of 7835 in exponential form is:

7835 = 51×15671

Now multiplying the highest exponent prime factors to calculate the LCM of 7832 and 7835.

LCM(7832,7835) = 23×51×111×891×15671
LCM(7832,7835) = 61363720

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 7835

List of positive integer factors of 7835 that divides 7835 without a remainder.

1, 5, 1567, 7835

Least Common Multiple of 7832 and 7835 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 7835, than apply into the LCM equation.

GCF(7832,7835) = 1
LCM(7832,7835) = ( 7832 × 7835) / 1
LCM(7832,7835) = 61363720 / 1
LCM(7832,7835) = 61363720

Properties of LCM 7832 and 7835

(i) The LCM of 7835 and 7832 is associative

LCM of 7832 and 7835 = LCM of 7835 and 7832

Related Least Common Multiples of 7832

Related Least Common Multiples of 7835

Frequently Asked Questions on LCM of 7832 and 7835

1. What is the LCM of 7832 and 7835?

Answer: LCM of 7832 and 7835 is 61363720.

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 7835?

Answer: Factors of 7835 are 1, 5, 1567, 7835. There are 4 integers that are factors of 7835. The greatest factor of 7835 is 7835.

4. How to Find the LCM of 7832 and 7835?

Answer:

Least Common Multiple of 7832 and 7835 = 61363720

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 7835

7835 = 5 x 1567

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

LCM = 61363720 = 2 x 2 x 2 x 5 x 11 x 89 x 1567

Step 4: Therefore, the least common multiple of 7832 and 7835 is 61363720.