Least Common Multiple of 6840 and 6848

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 6848 the smallest integer that is 5855040 that is divisible by both numbers.

Least Common Multiple (LCM) of 6840 and 6848 is 5855040.

LCM(6840,6848) = 5855040

LCM of 6840 and 6848

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

LCM of:
and

Least Common Multiple of 6840 and 6848

LCM of 6840 and 6848 is 5855040

Least common multiple can be found by multiplying the highest exponent prime factors of 6840 and 6848. First we will calculate the prime factors of 6840 and 6848.

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 6848


2 6848
2 3424
2 1712
2 856
2 428
2 214
107 107
1

Prime factors of 6848 are 2,107. Prime factorization of 6848 in exponential form is:

6848 = 26×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 6840 and 6848.

LCM(6840,6848) = 26×32×51×191×1071
LCM(6840,6848) = 5855040

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 6848

List of positive integer factors of 6848 that divides 6848 without a remainder.

1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848

Least Common Multiple of 6840 and 6848 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 6848, than apply into the LCM equation.

GCF(6840,6848) = 8
LCM(6840,6848) = ( 6840 × 6848) / 8
LCM(6840,6848) = 46840320 / 8
LCM(6840,6848) = 5855040

Properties of LCM 6840 and 6848

(i) The LCM of 6848 and 6840 is associative

LCM of 6840 and 6848 = LCM of 6848 and 6840

Related Least Common Multiples of 6840

Related Least Common Multiples of 6848

Frequently Asked Questions on LCM of 6840 and 6848

1. What is the LCM of 6840 and 6848?

Answer: LCM of 6840 and 6848 is 5855040.

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 6848?

Answer: Factors of 6848 are 1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848. There are 14 integers that are factors of 6848. The greatest factor of 6848 is 6848.

4. How to Find the LCM of 6840 and 6848?

Answer:

Least Common Multiple of 6840 and 6848 = 5855040

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 6848

6848 = 2 x 2 x 2 x 2 x 2 x 2 x 107

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

LCM = 5855040 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 19 x 107

Step 4: Therefore, the least common multiple of 6840 and 6848 is 5855040.