Least Common Multiple of 6918 and 6925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6918 and 6925 the smallest integer that is 47907150 that is divisible by both numbers.

Least Common Multiple (LCM) of 6918 and 6925 is 47907150.

LCM(6918,6925) = 47907150

LCM of 6918 and 6925

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

LCM of:
and

Least Common Multiple of 6918 and 6925

LCM of 6918 and 6925 is 47907150

Least common multiple can be found by multiplying the highest exponent prime factors of 6918 and 6925. First we will calculate the prime factors of 6918 and 6925.

Prime Factorization of 6918


2 6918
3 3459
1153 1153
1

Prime factors of 6918 are 2, 3,1153. Prime factorization of 6918 in exponential form is:

6918 = 21×31×11531

Prime Factorization of 6925


5 6925
5 1385
277 277
1

Prime factors of 6925 are 5,277. Prime factorization of 6925 in exponential form is:

6925 = 52×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 6918 and 6925.

LCM(6918,6925) = 21×31×52×2771×11531
LCM(6918,6925) = 47907150

Factors of 6918

List of positive integer factors of 6918 that divides 6918 without a remainder.

1, 2, 3, 6, 1153, 2306, 3459, 6918

Factors of 6925

List of positive integer factors of 6925 that divides 6925 without a remainder.

1, 5, 25, 277, 1385, 6925

Least Common Multiple of 6918 and 6925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6918 and 6925, than apply into the LCM equation.

GCF(6918,6925) = 1
LCM(6918,6925) = ( 6918 × 6925) / 1
LCM(6918,6925) = 47907150 / 1
LCM(6918,6925) = 47907150

Properties of LCM 6918 and 6925

(i) The LCM of 6925 and 6918 is associative

LCM of 6918 and 6925 = LCM of 6925 and 6918

Related Least Common Multiples of 6918

Related Least Common Multiples of 6925

Frequently Asked Questions on LCM of 6918 and 6925

1. What is the LCM of 6918 and 6925?

Answer: LCM of 6918 and 6925 is 47907150.

2. What are the Factors of 6918?

Answer: Factors of 6918 are 1, 2, 3, 6, 1153, 2306, 3459, 6918. There are 8 integers that are factors of 6918. The greatest factor of 6918 is 6918.

3. What are the Factors of 6925?

Answer: Factors of 6925 are 1, 5, 25, 277, 1385, 6925. There are 6 integers that are factors of 6925. The greatest factor of 6925 is 6925.

4. How to Find the LCM of 6918 and 6925?

Answer:

Least Common Multiple of 6918 and 6925 = 47907150

Step 1: Find the prime factorization of 6918

6918 = 2 x 3 x 1153

Step 2: Find the prime factorization of 6925

6925 = 5 x 5 x 277

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

LCM = 47907150 = 2 x 3 x 5 x 5 x 277 x 1153

Step 4: Therefore, the least common multiple of 6918 and 6925 is 47907150.