Least Common Multiple of 3914 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 3914 and 3920 the smallest integer that is 7671440 that is divisible by both numbers.

Least Common Multiple (LCM) of 3914 and 3920 is 7671440.

LCM(3914,3920) = 7671440

LCM of 3914 and 3920

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

LCM of:
and

Least Common Multiple of 3914 and 3920

LCM of 3914 and 3920 is 7671440

Least common multiple can be found by multiplying the highest exponent prime factors of 3914 and 3920. First we will calculate the prime factors of 3914 and 3920.

Prime Factorization of 3914


2 3914
19 1957
103 103
1

Prime factors of 3914 are 2, 19,103. Prime factorization of 3914 in exponential form is:

3914 = 21×191×1031

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 3914 and 3920.

LCM(3914,3920) = 24×51×72×191×1031
LCM(3914,3920) = 7671440

Factors of 3914

List of positive integer factors of 3914 that divides 3914 without a remainder.

1, 2, 19, 38, 103, 206, 1957, 3914

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 3914 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 3914 and 3920, than apply into the LCM equation.

GCF(3914,3920) = 2
LCM(3914,3920) = ( 3914 × 3920) / 2
LCM(3914,3920) = 15342880 / 2
LCM(3914,3920) = 7671440

Properties of LCM 3914 and 3920

(i) The LCM of 3920 and 3914 is associative

LCM of 3914 and 3920 = LCM of 3920 and 3914

Related Least Common Multiples of 3914

Related Least Common Multiples of 3920

Frequently Asked Questions on LCM of 3914 and 3920

1. What is the LCM of 3914 and 3920?

Answer: LCM of 3914 and 3920 is 7671440.

2. What are the Factors of 3914?

Answer: Factors of 3914 are 1, 2, 19, 38, 103, 206, 1957, 3914. There are 8 integers that are factors of 3914. The greatest factor of 3914 is 3914.

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 3914 and 3920?

Answer:

Least Common Multiple of 3914 and 3920 = 7671440

Step 1: Find the prime factorization of 3914

3914 = 2 x 19 x 103

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 = 7671440 = 2 x 2 x 2 x 2 x 5 x 7 x 7 x 19 x 103

Step 4: Therefore, the least common multiple of 3914 and 3920 is 7671440.