Least Common Multiple of 3907 and 3915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3907 and 3915 the smallest integer that is 15295905 that is divisible by both numbers.

Least Common Multiple (LCM) of 3907 and 3915 is 15295905.

LCM(3907,3915) = 15295905

LCM of 3907 and 3915

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

LCM of:
and

Least Common Multiple of 3907 and 3915

LCM of 3907 and 3915 is 15295905

Least common multiple can be found by multiplying the highest exponent prime factors of 3907 and 3915. First we will calculate the prime factors of 3907 and 3915.

Prime Factorization of 3907


3907 3907
1

Prime factors of 3907 are 3907. Prime factorization of 3907 in exponential form is:

3907 = 39071

Prime Factorization of 3915


3 3915
3 1305
3 435
5 145
29 29
1

Prime factors of 3915 are 3, 5,29. Prime factorization of 3915 in exponential form is:

3915 = 33×51×291

Now multiplying the highest exponent prime factors to calculate the LCM of 3907 and 3915.

LCM(3907,3915) = 33×51×291×39071
LCM(3907,3915) = 15295905

Factors of 3907

List of positive integer factors of 3907 that divides 3907 without a remainder.

1, 3907

Factors of 3915

List of positive integer factors of 3915 that divides 3915 without a remainder.

1, 3, 5, 9, 15, 27, 29, 45, 87, 135, 145, 261, 435, 783, 1305, 3915

Least Common Multiple of 3907 and 3915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3907 and 3915, than apply into the LCM equation.

GCF(3907,3915) = 1
LCM(3907,3915) = ( 3907 × 3915) / 1
LCM(3907,3915) = 15295905 / 1
LCM(3907,3915) = 15295905

Properties of LCM 3907 and 3915

(i) The LCM of 3915 and 3907 is associative

LCM of 3907 and 3915 = LCM of 3915 and 3907

Related Least Common Multiples of 3907

Related Least Common Multiples of 3915

Frequently Asked Questions on LCM of 3907 and 3915

1. What is the LCM of 3907 and 3915?

Answer: LCM of 3907 and 3915 is 15295905.

2. What are the Factors of 3907?

Answer: Factors of 3907 are 1, 3907. There are 2 integers that are factors of 3907. The greatest factor of 3907 is 3907.

3. What are the Factors of 3915?

Answer: Factors of 3915 are 1, 3, 5, 9, 15, 27, 29, 45, 87, 135, 145, 261, 435, 783, 1305, 3915. There are 16 integers that are factors of 3915. The greatest factor of 3915 is 3915.

4. How to Find the LCM of 3907 and 3915?

Answer:

Least Common Multiple of 3907 and 3915 = 15295905

Step 1: Find the prime factorization of 3907

3907 = 3907

Step 2: Find the prime factorization of 3915

3915 = 3 x 3 x 3 x 5 x 29

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

LCM = 15295905 = 3 x 3 x 3 x 5 x 29 x 3907

Step 4: Therefore, the least common multiple of 3907 and 3915 is 15295905.