Least Common Multiple of 6901 and 6906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6901 and 6906 the smallest integer that is 47658306 that is divisible by both numbers.

Least Common Multiple (LCM) of 6901 and 6906 is 47658306.

LCM(6901,6906) = 47658306

LCM of 6901 and 6906

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

LCM of:
and

Least Common Multiple of 6901 and 6906

LCM of 6901 and 6906 is 47658306

Least common multiple can be found by multiplying the highest exponent prime factors of 6901 and 6906. First we will calculate the prime factors of 6901 and 6906.

Prime Factorization of 6901


67 6901
103 103
1

Prime factors of 6901 are 67,103. Prime factorization of 6901 in exponential form is:

6901 = 671×1031

Prime Factorization of 6906


2 6906
3 3453
1151 1151
1

Prime factors of 6906 are 2, 3,1151. Prime factorization of 6906 in exponential form is:

6906 = 21×31×11511

Now multiplying the highest exponent prime factors to calculate the LCM of 6901 and 6906.

LCM(6901,6906) = 21×31×671×1031×11511
LCM(6901,6906) = 47658306

Factors of 6901

List of positive integer factors of 6901 that divides 6901 without a remainder.

1, 67, 103, 6901

Factors of 6906

List of positive integer factors of 6906 that divides 6906 without a remainder.

1, 2, 3, 6, 1151, 2302, 3453, 6906

Least Common Multiple of 6901 and 6906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6901 and 6906, than apply into the LCM equation.

GCF(6901,6906) = 1
LCM(6901,6906) = ( 6901 × 6906) / 1
LCM(6901,6906) = 47658306 / 1
LCM(6901,6906) = 47658306

Properties of LCM 6901 and 6906

(i) The LCM of 6906 and 6901 is associative

LCM of 6901 and 6906 = LCM of 6906 and 6901

Related Least Common Multiples of 6901

Related Least Common Multiples of 6906

Frequently Asked Questions on LCM of 6901 and 6906

1. What is the LCM of 6901 and 6906?

Answer: LCM of 6901 and 6906 is 47658306.

2. What are the Factors of 6901?

Answer: Factors of 6901 are 1, 67, 103, 6901. There are 4 integers that are factors of 6901. The greatest factor of 6901 is 6901.

3. What are the Factors of 6906?

Answer: Factors of 6906 are 1, 2, 3, 6, 1151, 2302, 3453, 6906. There are 8 integers that are factors of 6906. The greatest factor of 6906 is 6906.

4. How to Find the LCM of 6901 and 6906?

Answer:

Least Common Multiple of 6901 and 6906 = 47658306

Step 1: Find the prime factorization of 6901

6901 = 67 x 103

Step 2: Find the prime factorization of 6906

6906 = 2 x 3 x 1151

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

LCM = 47658306 = 2 x 3 x 67 x 103 x 1151

Step 4: Therefore, the least common multiple of 6901 and 6906 is 47658306.