Least Common Multiple of 6890 and 6892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6890 and 6892 the smallest integer that is 23742940 that is divisible by both numbers.

Least Common Multiple (LCM) of 6890 and 6892 is 23742940.

LCM(6890,6892) = 23742940

LCM of 6890 and 6892

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

LCM of:
and

Least Common Multiple of 6890 and 6892

LCM of 6890 and 6892 is 23742940

Least common multiple can be found by multiplying the highest exponent prime factors of 6890 and 6892. First we will calculate the prime factors of 6890 and 6892.

Prime Factorization of 6890


2 6890
5 3445
13 689
53 53
1

Prime factors of 6890 are 2, 5, 13,53. Prime factorization of 6890 in exponential form is:

6890 = 21×51×131×531

Prime Factorization of 6892


2 6892
2 3446
1723 1723
1

Prime factors of 6892 are 2,1723. Prime factorization of 6892 in exponential form is:

6892 = 22×17231

Now multiplying the highest exponent prime factors to calculate the LCM of 6890 and 6892.

LCM(6890,6892) = 22×51×131×531×17231
LCM(6890,6892) = 23742940

Factors of 6890

List of positive integer factors of 6890 that divides 6890 without a remainder.

1, 2, 5, 10, 13, 26, 53, 65, 106, 130, 265, 530, 689, 1378, 3445, 6890

Factors of 6892

List of positive integer factors of 6892 that divides 6892 without a remainder.

1, 2, 4, 1723, 3446, 6892

Least Common Multiple of 6890 and 6892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6890 and 6892, than apply into the LCM equation.

GCF(6890,6892) = 2
LCM(6890,6892) = ( 6890 × 6892) / 2
LCM(6890,6892) = 47485880 / 2
LCM(6890,6892) = 23742940

Properties of LCM 6890 and 6892

(i) The LCM of 6892 and 6890 is associative

LCM of 6890 and 6892 = LCM of 6892 and 6890

Related Least Common Multiples of 6890

Related Least Common Multiples of 6892

Frequently Asked Questions on LCM of 6890 and 6892

1. What is the LCM of 6890 and 6892?

Answer: LCM of 6890 and 6892 is 23742940.

2. What are the Factors of 6890?

Answer: Factors of 6890 are 1, 2, 5, 10, 13, 26, 53, 65, 106, 130, 265, 530, 689, 1378, 3445, 6890. There are 16 integers that are factors of 6890. The greatest factor of 6890 is 6890.

3. What are the Factors of 6892?

Answer: Factors of 6892 are 1, 2, 4, 1723, 3446, 6892. There are 6 integers that are factors of 6892. The greatest factor of 6892 is 6892.

4. How to Find the LCM of 6890 and 6892?

Answer:

Least Common Multiple of 6890 and 6892 = 23742940

Step 1: Find the prime factorization of 6890

6890 = 2 x 5 x 13 x 53

Step 2: Find the prime factorization of 6892

6892 = 2 x 2 x 1723

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

LCM = 23742940 = 2 x 2 x 5 x 13 x 53 x 1723

Step 4: Therefore, the least common multiple of 6890 and 6892 is 23742940.