Least Common Multiple of 6901 and 6908

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 6908 the smallest integer that is 47672108 that is divisible by both numbers.

Least Common Multiple (LCM) of 6901 and 6908 is 47672108.

LCM(6901,6908) = 47672108

LCM of 6901 and 6908

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

LCM of:
and

Least Common Multiple of 6901 and 6908

LCM of 6901 and 6908 is 47672108

Least common multiple can be found by multiplying the highest exponent prime factors of 6901 and 6908. First we will calculate the prime factors of 6901 and 6908.

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 6908


2 6908
2 3454
11 1727
157 157
1

Prime factors of 6908 are 2, 11,157. Prime factorization of 6908 in exponential form is:

6908 = 22×111×1571

Now multiplying the highest exponent prime factors to calculate the LCM of 6901 and 6908.

LCM(6901,6908) = 22×111×671×1031×1571
LCM(6901,6908) = 47672108

Factors of 6901

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

1, 67, 103, 6901

Factors of 6908

List of positive integer factors of 6908 that divides 6908 without a remainder.

1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908

Least Common Multiple of 6901 and 6908 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 6908, than apply into the LCM equation.

GCF(6901,6908) = 1
LCM(6901,6908) = ( 6901 × 6908) / 1
LCM(6901,6908) = 47672108 / 1
LCM(6901,6908) = 47672108

Properties of LCM 6901 and 6908

(i) The LCM of 6908 and 6901 is associative

LCM of 6901 and 6908 = LCM of 6908 and 6901

Related Least Common Multiples of 6901

Related Least Common Multiples of 6908

Frequently Asked Questions on LCM of 6901 and 6908

1. What is the LCM of 6901 and 6908?

Answer: LCM of 6901 and 6908 is 47672108.

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 6908?

Answer: Factors of 6908 are 1, 2, 4, 11, 22, 44, 157, 314, 628, 1727, 3454, 6908. There are 12 integers that are factors of 6908. The greatest factor of 6908 is 6908.

4. How to Find the LCM of 6901 and 6908?

Answer:

Least Common Multiple of 6901 and 6908 = 47672108

Step 1: Find the prime factorization of 6901

6901 = 67 x 103

Step 2: Find the prime factorization of 6908

6908 = 2 x 2 x 11 x 157

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

LCM = 47672108 = 2 x 2 x 11 x 67 x 103 x 157

Step 4: Therefore, the least common multiple of 6901 and 6908 is 47672108.