Least Common Multiple of 7832 and 7840

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 7840 the smallest integer that is 7675360 that is divisible by both numbers.

Least Common Multiple (LCM) of 7832 and 7840 is 7675360.

LCM(7832,7840) = 7675360

LCM of 7832 and 7840

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

LCM of:
and

Least Common Multiple of 7832 and 7840

LCM of 7832 and 7840 is 7675360

Least common multiple can be found by multiplying the highest exponent prime factors of 7832 and 7840. First we will calculate the prime factors of 7832 and 7840.

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 7840


2 7840
2 3920
2 1960
2 980
2 490
5 245
7 49
7 7
1

Prime factors of 7840 are 2, 5,7. Prime factorization of 7840 in exponential form is:

7840 = 25×51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 7832 and 7840.

LCM(7832,7840) = 25×51×72×111×891
LCM(7832,7840) = 7675360

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 7840

List of positive integer factors of 7840 that divides 7840 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 70, 80, 98, 112, 140, 160, 196, 224, 245, 280, 392, 490, 560, 784, 980, 1120, 1568, 1960, 3920, 7840

Least Common Multiple of 7832 and 7840 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 7840, than apply into the LCM equation.

GCF(7832,7840) = 8
LCM(7832,7840) = ( 7832 × 7840) / 8
LCM(7832,7840) = 61402880 / 8
LCM(7832,7840) = 7675360

Properties of LCM 7832 and 7840

(i) The LCM of 7840 and 7832 is associative

LCM of 7832 and 7840 = LCM of 7840 and 7832

Related Least Common Multiples of 7832

Related Least Common Multiples of 7840

Frequently Asked Questions on LCM of 7832 and 7840

1. What is the LCM of 7832 and 7840?

Answer: LCM of 7832 and 7840 is 7675360.

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 7840?

Answer: Factors of 7840 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 49, 56, 70, 80, 98, 112, 140, 160, 196, 224, 245, 280, 392, 490, 560, 784, 980, 1120, 1568, 1960, 3920, 7840. There are 36 integers that are factors of 7840. The greatest factor of 7840 is 7840.

4. How to Find the LCM of 7832 and 7840?

Answer:

Least Common Multiple of 7832 and 7840 = 7675360

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 7840

7840 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7

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

LCM = 7675360 = 2 x 2 x 2 x 2 x 2 x 5 x 7 x 7 x 11 x 89

Step 4: Therefore, the least common multiple of 7832 and 7840 is 7675360.