Least Common Multiple of 3915 and 3920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3915 and 3920 the smallest integer that is 3069360 that is divisible by both numbers.

Least Common Multiple (LCM) of 3915 and 3920 is 3069360.

LCM(3915,3920) = 3069360

LCM of 3915 and 3920

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

LCM of:
and

Least Common Multiple of 3915 and 3920

LCM of 3915 and 3920 is 3069360

Least common multiple can be found by multiplying the highest exponent prime factors of 3915 and 3920. First we will calculate the prime factors of 3915 and 3920.

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

Prime Factorization of 3920


2 3920
2 1960
2 980
2 490
5 245
7 49
7 7
1

Prime factors of 3920 are 2, 5,7. Prime factorization of 3920 in exponential form is:

3920 = 24×51×72

Now multiplying the highest exponent prime factors to calculate the LCM of 3915 and 3920.

LCM(3915,3920) = 24×33×51×72×291
LCM(3915,3920) = 3069360

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

Factors of 3920

List of positive integer factors of 3920 that divides 3920 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 392, 490, 560, 784, 980, 1960, 3920

Least Common Multiple of 3915 and 3920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3915 and 3920, than apply into the LCM equation.

GCF(3915,3920) = 5
LCM(3915,3920) = ( 3915 × 3920) / 5
LCM(3915,3920) = 15346800 / 5
LCM(3915,3920) = 3069360

Properties of LCM 3915 and 3920

(i) The LCM of 3920 and 3915 is associative

LCM of 3915 and 3920 = LCM of 3920 and 3915

Related Least Common Multiples of 3915

Related Least Common Multiples of 3920

Frequently Asked Questions on LCM of 3915 and 3920

1. What is the LCM of 3915 and 3920?

Answer: LCM of 3915 and 3920 is 3069360.

2. 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.

3. What are the Factors of 3920?

Answer: Factors of 3920 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 49, 56, 70, 80, 98, 112, 140, 196, 245, 280, 392, 490, 560, 784, 980, 1960, 3920. There are 30 integers that are factors of 3920. The greatest factor of 3920 is 3920.

4. How to Find the LCM of 3915 and 3920?

Answer:

Least Common Multiple of 3915 and 3920 = 3069360

Step 1: Find the prime factorization of 3915

3915 = 3 x 3 x 3 x 5 x 29

Step 2: Find the prime factorization of 3920

3920 = 2 x 2 x 2 x 2 x 5 x 7 x 7

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

LCM = 3069360 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 29

Step 4: Therefore, the least common multiple of 3915 and 3920 is 3069360.