Least Common Multiple of 6850 and 6855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6850 and 6855 the smallest integer that is 9391350 that is divisible by both numbers.

Least Common Multiple (LCM) of 6850 and 6855 is 9391350.

LCM(6850,6855) = 9391350

LCM of 6850 and 6855

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

LCM of:
and

Least Common Multiple of 6850 and 6855

LCM of 6850 and 6855 is 9391350

Least common multiple can be found by multiplying the highest exponent prime factors of 6850 and 6855. First we will calculate the prime factors of 6850 and 6855.

Prime Factorization of 6850


2 6850
5 3425
5 685
137 137
1

Prime factors of 6850 are 2, 5,137. Prime factorization of 6850 in exponential form is:

6850 = 21×52×1371

Prime Factorization of 6855


3 6855
5 2285
457 457
1

Prime factors of 6855 are 3, 5,457. Prime factorization of 6855 in exponential form is:

6855 = 31×51×4571

Now multiplying the highest exponent prime factors to calculate the LCM of 6850 and 6855.

LCM(6850,6855) = 21×31×52×1371×4571
LCM(6850,6855) = 9391350

Factors of 6850

List of positive integer factors of 6850 that divides 6850 without a remainder.

1, 2, 5, 10, 25, 50, 137, 274, 685, 1370, 3425, 6850

Factors of 6855

List of positive integer factors of 6855 that divides 6855 without a remainder.

1, 3, 5, 15, 457, 1371, 2285, 6855

Least Common Multiple of 6850 and 6855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6850 and 6855, than apply into the LCM equation.

GCF(6850,6855) = 5
LCM(6850,6855) = ( 6850 × 6855) / 5
LCM(6850,6855) = 46956750 / 5
LCM(6850,6855) = 9391350

Properties of LCM 6850 and 6855

(i) The LCM of 6855 and 6850 is associative

LCM of 6850 and 6855 = LCM of 6855 and 6850

Related Least Common Multiples of 6850

Related Least Common Multiples of 6855

Frequently Asked Questions on LCM of 6850 and 6855

1. What is the LCM of 6850 and 6855?

Answer: LCM of 6850 and 6855 is 9391350.

2. What are the Factors of 6850?

Answer: Factors of 6850 are 1, 2, 5, 10, 25, 50, 137, 274, 685, 1370, 3425, 6850. There are 12 integers that are factors of 6850. The greatest factor of 6850 is 6850.

3. What are the Factors of 6855?

Answer: Factors of 6855 are 1, 3, 5, 15, 457, 1371, 2285, 6855. There are 8 integers that are factors of 6855. The greatest factor of 6855 is 6855.

4. How to Find the LCM of 6850 and 6855?

Answer:

Least Common Multiple of 6850 and 6855 = 9391350

Step 1: Find the prime factorization of 6850

6850 = 2 x 5 x 5 x 137

Step 2: Find the prime factorization of 6855

6855 = 3 x 5 x 457

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

LCM = 9391350 = 2 x 3 x 5 x 5 x 137 x 457

Step 4: Therefore, the least common multiple of 6850 and 6855 is 9391350.