Least Common Multiple of 7842 and 7848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7842 and 7848 the smallest integer that is 10257336 that is divisible by both numbers.

Least Common Multiple (LCM) of 7842 and 7848 is 10257336.

LCM(7842,7848) = 10257336

LCM of 7842 and 7848

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

LCM of:
and

Least Common Multiple of 7842 and 7848

LCM of 7842 and 7848 is 10257336

Least common multiple can be found by multiplying the highest exponent prime factors of 7842 and 7848. First we will calculate the prime factors of 7842 and 7848.

Prime Factorization of 7842


2 7842
3 3921
1307 1307
1

Prime factors of 7842 are 2, 3,1307. Prime factorization of 7842 in exponential form is:

7842 = 21×31×13071

Prime Factorization of 7848


2 7848
2 3924
2 1962
3 981
3 327
109 109
1

Prime factors of 7848 are 2, 3,109. Prime factorization of 7848 in exponential form is:

7848 = 23×32×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 7842 and 7848.

LCM(7842,7848) = 23×32×1091×13071
LCM(7842,7848) = 10257336

Factors of 7842

List of positive integer factors of 7842 that divides 7842 without a remainder.

1, 2, 3, 6, 1307, 2614, 3921, 7842

Factors of 7848

List of positive integer factors of 7848 that divides 7848 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 109, 218, 327, 436, 654, 872, 981, 1308, 1962, 2616, 3924, 7848

Least Common Multiple of 7842 and 7848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7842 and 7848, than apply into the LCM equation.

GCF(7842,7848) = 6
LCM(7842,7848) = ( 7842 × 7848) / 6
LCM(7842,7848) = 61544016 / 6
LCM(7842,7848) = 10257336

Properties of LCM 7842 and 7848

(i) The LCM of 7848 and 7842 is associative

LCM of 7842 and 7848 = LCM of 7848 and 7842

Related Least Common Multiples of 7842

Related Least Common Multiples of 7848

Frequently Asked Questions on LCM of 7842 and 7848

1. What is the LCM of 7842 and 7848?

Answer: LCM of 7842 and 7848 is 10257336.

2. What are the Factors of 7842?

Answer: Factors of 7842 are 1, 2, 3, 6, 1307, 2614, 3921, 7842. There are 8 integers that are factors of 7842. The greatest factor of 7842 is 7842.

3. What are the Factors of 7848?

Answer: Factors of 7848 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 109, 218, 327, 436, 654, 872, 981, 1308, 1962, 2616, 3924, 7848. There are 24 integers that are factors of 7848. The greatest factor of 7848 is 7848.

4. How to Find the LCM of 7842 and 7848?

Answer:

Least Common Multiple of 7842 and 7848 = 10257336

Step 1: Find the prime factorization of 7842

7842 = 2 x 3 x 1307

Step 2: Find the prime factorization of 7848

7848 = 2 x 2 x 2 x 3 x 3 x 109

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

LCM = 10257336 = 2 x 2 x 2 x 3 x 3 x 109 x 1307

Step 4: Therefore, the least common multiple of 7842 and 7848 is 10257336.