Least Common Multiple of 7833 and 7838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7833 and 7838 the smallest integer that is 61395054 that is divisible by both numbers.

Least Common Multiple (LCM) of 7833 and 7838 is 61395054.

LCM(7833,7838) = 61395054

LCM of 7833 and 7838

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

LCM of:
and

Least Common Multiple of 7833 and 7838

LCM of 7833 and 7838 is 61395054

Least common multiple can be found by multiplying the highest exponent prime factors of 7833 and 7838. First we will calculate the prime factors of 7833 and 7838.

Prime Factorization of 7833


3 7833
7 2611
373 373
1

Prime factors of 7833 are 3, 7,373. Prime factorization of 7833 in exponential form is:

7833 = 31×71×3731

Prime Factorization of 7838


2 7838
3919 3919
1

Prime factors of 7838 are 2,3919. Prime factorization of 7838 in exponential form is:

7838 = 21×39191

Now multiplying the highest exponent prime factors to calculate the LCM of 7833 and 7838.

LCM(7833,7838) = 21×31×71×3731×39191
LCM(7833,7838) = 61395054

Factors of 7833

List of positive integer factors of 7833 that divides 7833 without a remainder.

1, 3, 7, 21, 373, 1119, 2611, 7833

Factors of 7838

List of positive integer factors of 7838 that divides 7838 without a remainder.

1, 2, 3919, 7838

Least Common Multiple of 7833 and 7838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7833 and 7838, than apply into the LCM equation.

GCF(7833,7838) = 1
LCM(7833,7838) = ( 7833 × 7838) / 1
LCM(7833,7838) = 61395054 / 1
LCM(7833,7838) = 61395054

Properties of LCM 7833 and 7838

(i) The LCM of 7838 and 7833 is associative

LCM of 7833 and 7838 = LCM of 7838 and 7833

Related Least Common Multiples of 7833

Related Least Common Multiples of 7838

Frequently Asked Questions on LCM of 7833 and 7838

1. What is the LCM of 7833 and 7838?

Answer: LCM of 7833 and 7838 is 61395054.

2. What are the Factors of 7833?

Answer: Factors of 7833 are 1, 3, 7, 21, 373, 1119, 2611, 7833. There are 8 integers that are factors of 7833. The greatest factor of 7833 is 7833.

3. What are the Factors of 7838?

Answer: Factors of 7838 are 1, 2, 3919, 7838. There are 4 integers that are factors of 7838. The greatest factor of 7838 is 7838.

4. How to Find the LCM of 7833 and 7838?

Answer:

Least Common Multiple of 7833 and 7838 = 61395054

Step 1: Find the prime factorization of 7833

7833 = 3 x 7 x 373

Step 2: Find the prime factorization of 7838

7838 = 2 x 3919

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

LCM = 61395054 = 2 x 3 x 7 x 373 x 3919

Step 4: Therefore, the least common multiple of 7833 and 7838 is 61395054.