Least Common Multiple of 7841 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 7841 and 7848 the smallest integer that is 61536168 that is divisible by both numbers.

Least Common Multiple (LCM) of 7841 and 7848 is 61536168.

LCM(7841,7848) = 61536168

LCM of 7841 and 7848

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

LCM of:
and

Least Common Multiple of 7841 and 7848

LCM of 7841 and 7848 is 61536168

Least common multiple can be found by multiplying the highest exponent prime factors of 7841 and 7848. First we will calculate the prime factors of 7841 and 7848.

Prime Factorization of 7841


7841 7841
1

Prime factors of 7841 are 7841. Prime factorization of 7841 in exponential form is:

7841 = 78411

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 7841 and 7848.

LCM(7841,7848) = 23×32×1091×78411
LCM(7841,7848) = 61536168

Factors of 7841

List of positive integer factors of 7841 that divides 7841 without a remainder.

1, 7841

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 7841 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 7841 and 7848, than apply into the LCM equation.

GCF(7841,7848) = 1
LCM(7841,7848) = ( 7841 × 7848) / 1
LCM(7841,7848) = 61536168 / 1
LCM(7841,7848) = 61536168

Properties of LCM 7841 and 7848

(i) The LCM of 7848 and 7841 is associative

LCM of 7841 and 7848 = LCM of 7848 and 7841

Related Least Common Multiples of 7841

Related Least Common Multiples of 7848

Frequently Asked Questions on LCM of 7841 and 7848

1. What is the LCM of 7841 and 7848?

Answer: LCM of 7841 and 7848 is 61536168.

2. What are the Factors of 7841?

Answer: Factors of 7841 are 1, 7841. There are 2 integers that are factors of 7841. The greatest factor of 7841 is 7841.

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 7841 and 7848?

Answer:

Least Common Multiple of 7841 and 7848 = 61536168

Step 1: Find the prime factorization of 7841

7841 = 7841

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 = 61536168 = 2 x 2 x 2 x 3 x 3 x 109 x 7841

Step 4: Therefore, the least common multiple of 7841 and 7848 is 61536168.