Least Common Multiple of 6845 and 6852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6845 and 6852 the smallest integer that is 46901940 that is divisible by both numbers.

Least Common Multiple (LCM) of 6845 and 6852 is 46901940.

LCM(6845,6852) = 46901940

LCM of 6845 and 6852

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

LCM of:
and

Least Common Multiple of 6845 and 6852

LCM of 6845 and 6852 is 46901940

Least common multiple can be found by multiplying the highest exponent prime factors of 6845 and 6852. First we will calculate the prime factors of 6845 and 6852.

Prime Factorization of 6845


5 6845
37 1369
37 37
1

Prime factors of 6845 are 5,37. Prime factorization of 6845 in exponential form is:

6845 = 51×372

Prime Factorization of 6852


2 6852
2 3426
3 1713
571 571
1

Prime factors of 6852 are 2, 3,571. Prime factorization of 6852 in exponential form is:

6852 = 22×31×5711

Now multiplying the highest exponent prime factors to calculate the LCM of 6845 and 6852.

LCM(6845,6852) = 22×31×51×372×5711
LCM(6845,6852) = 46901940

Factors of 6845

List of positive integer factors of 6845 that divides 6845 without a remainder.

1, 5, 37, 185, 1369, 6845

Factors of 6852

List of positive integer factors of 6852 that divides 6852 without a remainder.

1, 2, 3, 4, 6, 12, 571, 1142, 1713, 2284, 3426, 6852

Least Common Multiple of 6845 and 6852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6845 and 6852, than apply into the LCM equation.

GCF(6845,6852) = 1
LCM(6845,6852) = ( 6845 × 6852) / 1
LCM(6845,6852) = 46901940 / 1
LCM(6845,6852) = 46901940

Properties of LCM 6845 and 6852

(i) The LCM of 6852 and 6845 is associative

LCM of 6845 and 6852 = LCM of 6852 and 6845

Related Least Common Multiples of 6845

Related Least Common Multiples of 6852

Frequently Asked Questions on LCM of 6845 and 6852

1. What is the LCM of 6845 and 6852?

Answer: LCM of 6845 and 6852 is 46901940.

2. What are the Factors of 6845?

Answer: Factors of 6845 are 1, 5, 37, 185, 1369, 6845. There are 6 integers that are factors of 6845. The greatest factor of 6845 is 6845.

3. What are the Factors of 6852?

Answer: Factors of 6852 are 1, 2, 3, 4, 6, 12, 571, 1142, 1713, 2284, 3426, 6852. There are 12 integers that are factors of 6852. The greatest factor of 6852 is 6852.

4. How to Find the LCM of 6845 and 6852?

Answer:

Least Common Multiple of 6845 and 6852 = 46901940

Step 1: Find the prime factorization of 6845

6845 = 5 x 37 x 37

Step 2: Find the prime factorization of 6852

6852 = 2 x 2 x 3 x 571

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

LCM = 46901940 = 2 x 2 x 3 x 5 x 37 x 37 x 571

Step 4: Therefore, the least common multiple of 6845 and 6852 is 46901940.