Least Common Multiple of 3916 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 3916 and 3920 the smallest integer that is 3837680 that is divisible by both numbers.

Least Common Multiple (LCM) of 3916 and 3920 is 3837680.

LCM(3916,3920) = 3837680

LCM of 3916 and 3920

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

LCM of:
and

Least Common Multiple of 3916 and 3920

LCM of 3916 and 3920 is 3837680

Least common multiple can be found by multiplying the highest exponent prime factors of 3916 and 3920. First we will calculate the prime factors of 3916 and 3920.

Prime Factorization of 3916


2 3916
2 1958
11 979
89 89
1

Prime factors of 3916 are 2, 11,89. Prime factorization of 3916 in exponential form is:

3916 = 22×111×891

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 3916 and 3920.

LCM(3916,3920) = 24×51×72×111×891
LCM(3916,3920) = 3837680

Factors of 3916

List of positive integer factors of 3916 that divides 3916 without a remainder.

1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916

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 3916 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 3916 and 3920, than apply into the LCM equation.

GCF(3916,3920) = 4
LCM(3916,3920) = ( 3916 × 3920) / 4
LCM(3916,3920) = 15350720 / 4
LCM(3916,3920) = 3837680

Properties of LCM 3916 and 3920

(i) The LCM of 3920 and 3916 is associative

LCM of 3916 and 3920 = LCM of 3920 and 3916

Related Least Common Multiples of 3916

Related Least Common Multiples of 3920

Frequently Asked Questions on LCM of 3916 and 3920

1. What is the LCM of 3916 and 3920?

Answer: LCM of 3916 and 3920 is 3837680.

2. What are the Factors of 3916?

Answer: Factors of 3916 are 1, 2, 4, 11, 22, 44, 89, 178, 356, 979, 1958, 3916. There are 12 integers that are factors of 3916. The greatest factor of 3916 is 3916.

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 3916 and 3920?

Answer:

Least Common Multiple of 3916 and 3920 = 3837680

Step 1: Find the prime factorization of 3916

3916 = 2 x 2 x 11 x 89

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 = 3837680 = 2 x 2 x 2 x 2 x 5 x 7 x 7 x 11 x 89

Step 4: Therefore, the least common multiple of 3916 and 3920 is 3837680.