Least Common Multiple of 6840 and 6846

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 6846 the smallest integer that is 7804440 that is divisible by both numbers.

Least Common Multiple (LCM) of 6840 and 6846 is 7804440.

LCM(6840,6846) = 7804440

LCM of 6840 and 6846

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

LCM of:
and

Least Common Multiple of 6840 and 6846

LCM of 6840 and 6846 is 7804440

Least common multiple can be found by multiplying the highest exponent prime factors of 6840 and 6846. First we will calculate the prime factors of 6840 and 6846.

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 6846


2 6846
3 3423
7 1141
163 163
1

Prime factors of 6846 are 2, 3, 7,163. Prime factorization of 6846 in exponential form is:

6846 = 21×31×71×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 6840 and 6846.

LCM(6840,6846) = 23×32×51×71×191×1631
LCM(6840,6846) = 7804440

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 6846

List of positive integer factors of 6846 that divides 6846 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 163, 326, 489, 978, 1141, 2282, 3423, 6846

Least Common Multiple of 6840 and 6846 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 6846, than apply into the LCM equation.

GCF(6840,6846) = 6
LCM(6840,6846) = ( 6840 × 6846) / 6
LCM(6840,6846) = 46826640 / 6
LCM(6840,6846) = 7804440

Properties of LCM 6840 and 6846

(i) The LCM of 6846 and 6840 is associative

LCM of 6840 and 6846 = LCM of 6846 and 6840

Related Least Common Multiples of 6840

Related Least Common Multiples of 6846

Frequently Asked Questions on LCM of 6840 and 6846

1. What is the LCM of 6840 and 6846?

Answer: LCM of 6840 and 6846 is 7804440.

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 6846?

Answer: Factors of 6846 are 1, 2, 3, 6, 7, 14, 21, 42, 163, 326, 489, 978, 1141, 2282, 3423, 6846. There are 16 integers that are factors of 6846. The greatest factor of 6846 is 6846.

4. How to Find the LCM of 6840 and 6846?

Answer:

Least Common Multiple of 6840 and 6846 = 7804440

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 6846

6846 = 2 x 3 x 7 x 163

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

LCM = 7804440 = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 19 x 163

Step 4: Therefore, the least common multiple of 6840 and 6846 is 7804440.