Least Common Multiple of 7832 and 7837

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 7837 the smallest integer that is 61379384 that is divisible by both numbers.

Least Common Multiple (LCM) of 7832 and 7837 is 61379384.

LCM(7832,7837) = 61379384

LCM of 7832 and 7837

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

LCM of:
and

Least Common Multiple of 7832 and 7837

LCM of 7832 and 7837 is 61379384

Least common multiple can be found by multiplying the highest exponent prime factors of 7832 and 7837. First we will calculate the prime factors of 7832 and 7837.

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 7837


17 7837
461 461
1

Prime factors of 7837 are 17,461. Prime factorization of 7837 in exponential form is:

7837 = 171×4611

Now multiplying the highest exponent prime factors to calculate the LCM of 7832 and 7837.

LCM(7832,7837) = 23×111×171×891×4611
LCM(7832,7837) = 61379384

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 7837

List of positive integer factors of 7837 that divides 7837 without a remainder.

1, 17, 461, 7837

Least Common Multiple of 7832 and 7837 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 7837, than apply into the LCM equation.

GCF(7832,7837) = 1
LCM(7832,7837) = ( 7832 × 7837) / 1
LCM(7832,7837) = 61379384 / 1
LCM(7832,7837) = 61379384

Properties of LCM 7832 and 7837

(i) The LCM of 7837 and 7832 is associative

LCM of 7832 and 7837 = LCM of 7837 and 7832

Related Least Common Multiples of 7832

Related Least Common Multiples of 7837

Frequently Asked Questions on LCM of 7832 and 7837

1. What is the LCM of 7832 and 7837?

Answer: LCM of 7832 and 7837 is 61379384.

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 7837?

Answer: Factors of 7837 are 1, 17, 461, 7837. There are 4 integers that are factors of 7837. The greatest factor of 7837 is 7837.

4. How to Find the LCM of 7832 and 7837?

Answer:

Least Common Multiple of 7832 and 7837 = 61379384

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 7837

7837 = 17 x 461

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

LCM = 61379384 = 2 x 2 x 2 x 11 x 17 x 89 x 461

Step 4: Therefore, the least common multiple of 7832 and 7837 is 61379384.