Least Common Multiple of 6859 and 6860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6859 and 6860 the smallest integer that is 47052740 that is divisible by both numbers.

Least Common Multiple (LCM) of 6859 and 6860 is 47052740.

LCM(6859,6860) = 47052740

LCM of 6859 and 6860

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

LCM of:
and

Least Common Multiple of 6859 and 6860

LCM of 6859 and 6860 is 47052740

Least common multiple can be found by multiplying the highest exponent prime factors of 6859 and 6860. First we will calculate the prime factors of 6859 and 6860.

Prime Factorization of 6859


19 6859
19 361
19 19
1

Prime factors of 6859 are 19. Prime factorization of 6859 in exponential form is:

6859 = 193

Prime Factorization of 6860


2 6860
2 3430
5 1715
7 343
7 49
7 7
1

Prime factors of 6860 are 2, 5,7. Prime factorization of 6860 in exponential form is:

6860 = 22×51×73

Now multiplying the highest exponent prime factors to calculate the LCM of 6859 and 6860.

LCM(6859,6860) = 22×51×73×193
LCM(6859,6860) = 47052740

Factors of 6859

List of positive integer factors of 6859 that divides 6859 without a remainder.

1, 19, 361, 6859

Factors of 6860

List of positive integer factors of 6860 that divides 6860 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 343, 490, 686, 980, 1372, 1715, 3430, 6860

Least Common Multiple of 6859 and 6860 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6859 and 6860, than apply into the LCM equation.

GCF(6859,6860) = 1
LCM(6859,6860) = ( 6859 × 6860) / 1
LCM(6859,6860) = 47052740 / 1
LCM(6859,6860) = 47052740

Properties of LCM 6859 and 6860

(i) The LCM of 6860 and 6859 is associative

LCM of 6859 and 6860 = LCM of 6860 and 6859

Related Least Common Multiples of 6859

Related Least Common Multiples of 6860

Frequently Asked Questions on LCM of 6859 and 6860

1. What is the LCM of 6859 and 6860?

Answer: LCM of 6859 and 6860 is 47052740.

2. What are the Factors of 6859?

Answer: Factors of 6859 are 1, 19, 361, 6859. There are 4 integers that are factors of 6859. The greatest factor of 6859 is 6859.

3. What are the Factors of 6860?

Answer: Factors of 6860 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 343, 490, 686, 980, 1372, 1715, 3430, 6860. There are 24 integers that are factors of 6860. The greatest factor of 6860 is 6860.

4. How to Find the LCM of 6859 and 6860?

Answer:

Least Common Multiple of 6859 and 6860 = 47052740

Step 1: Find the prime factorization of 6859

6859 = 19 x 19 x 19

Step 2: Find the prime factorization of 6860

6860 = 2 x 2 x 5 x 7 x 7 x 7

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

LCM = 47052740 = 2 x 2 x 5 x 7 x 7 x 7 x 19 x 19 x 19

Step 4: Therefore, the least common multiple of 6859 and 6860 is 47052740.