Least Common Multiple of 6840 and 6845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6840 and 6845 the smallest integer that is 9363960 that is divisible by both numbers.

Least Common Multiple (LCM) of 6840 and 6845 is 9363960.

LCM(6840,6845) = 9363960

LCM of 6840 and 6845

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

LCM of:
and

Least Common Multiple of 6840 and 6845

LCM of 6840 and 6845 is 9363960

Least common multiple can be found by multiplying the highest exponent prime factors of 6840 and 6845. First we will calculate the prime factors of 6840 and 6845.

Prime Factorization of 6840


2 6840
2 3420
2 1710
3 855
3 285
5 95
19 19
1

Prime factors of 6840 are 2, 3, 5,19. Prime factorization of 6840 in exponential form is:

6840 = 23×32×51×191

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6840 and 6845.

LCM(6840,6845) = 23×32×51×191×372
LCM(6840,6845) = 9363960

Factors of 6840

List of positive integer factors of 6840 that divides 6840 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 30, 36, 38, 40, 45, 57, 60, 72, 76, 90, 95, 114, 120, 152, 171, 180, 190, 228, 285, 342, 360, 380, 456, 570, 684, 760, 855, 1140, 1368, 1710, 2280, 3420, 6840

Factors of 6845

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

1, 5, 37, 185, 1369, 6845

Least Common Multiple of 6840 and 6845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6840 and 6845, than apply into the LCM equation.

GCF(6840,6845) = 5
LCM(6840,6845) = ( 6840 × 6845) / 5
LCM(6840,6845) = 46819800 / 5
LCM(6840,6845) = 9363960

Properties of LCM 6840 and 6845

(i) The LCM of 6845 and 6840 is associative

LCM of 6840 and 6845 = LCM of 6845 and 6840

Related Least Common Multiples of 6840

Related Least Common Multiples of 6845

Frequently Asked Questions on LCM of 6840 and 6845

1. What is the LCM of 6840 and 6845?

Answer: LCM of 6840 and 6845 is 9363960.

2. What are the Factors of 6840?

Answer: Factors of 6840 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 19, 20, 24, 30, 36, 38, 40, 45, 57, 60, 72, 76, 90, 95, 114, 120, 152, 171, 180, 190, 228, 285, 342, 360, 380, 456, 570, 684, 760, 855, 1140, 1368, 1710, 2280, 3420, 6840. There are 48 integers that are factors of 6840. The greatest factor of 6840 is 6840.

3. 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.

4. How to Find the LCM of 6840 and 6845?

Answer:

Least Common Multiple of 6840 and 6845 = 9363960

Step 1: Find the prime factorization of 6840

6840 = 2 x 2 x 2 x 3 x 3 x 5 x 19

Step 2: Find the prime factorization of 6845

6845 = 5 x 37 x 37

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

LCM = 9363960 = 2 x 2 x 2 x 3 x 3 x 5 x 19 x 37 x 37

Step 4: Therefore, the least common multiple of 6840 and 6845 is 9363960.