Least Common Multiple of 3920 and 3927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3920 and 3927 the smallest integer that is 2199120 that is divisible by both numbers.

Least Common Multiple (LCM) of 3920 and 3927 is 2199120.

LCM(3920,3927) = 2199120

LCM of 3920 and 3927

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

LCM of:
and

Least Common Multiple of 3920 and 3927

LCM of 3920 and 3927 is 2199120

Least common multiple can be found by multiplying the highest exponent prime factors of 3920 and 3927. First we will calculate the prime factors of 3920 and 3927.

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

Prime Factorization of 3927


3 3927
7 1309
11 187
17 17
1

Prime factors of 3927 are 3, 7, 11,17. Prime factorization of 3927 in exponential form is:

3927 = 31×71×111×171

Now multiplying the highest exponent prime factors to calculate the LCM of 3920 and 3927.

LCM(3920,3927) = 24×31×51×72×111×171
LCM(3920,3927) = 2199120

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

Factors of 3927

List of positive integer factors of 3927 that divides 3927 without a remainder.

1, 3, 7, 11, 17, 21, 33, 51, 77, 119, 187, 231, 357, 561, 1309, 3927

Least Common Multiple of 3920 and 3927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3920 and 3927, than apply into the LCM equation.

GCF(3920,3927) = 7
LCM(3920,3927) = ( 3920 × 3927) / 7
LCM(3920,3927) = 15393840 / 7
LCM(3920,3927) = 2199120

Properties of LCM 3920 and 3927

(i) The LCM of 3927 and 3920 is associative

LCM of 3920 and 3927 = LCM of 3927 and 3920

Related Least Common Multiples of 3920

Related Least Common Multiples of 3927

Frequently Asked Questions on LCM of 3920 and 3927

1. What is the LCM of 3920 and 3927?

Answer: LCM of 3920 and 3927 is 2199120.

2. 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.

3. What are the Factors of 3927?

Answer: Factors of 3927 are 1, 3, 7, 11, 17, 21, 33, 51, 77, 119, 187, 231, 357, 561, 1309, 3927. There are 16 integers that are factors of 3927. The greatest factor of 3927 is 3927.

4. How to Find the LCM of 3920 and 3927?

Answer:

Least Common Multiple of 3920 and 3927 = 2199120

Step 1: Find the prime factorization of 3920

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

Step 2: Find the prime factorization of 3927

3927 = 3 x 7 x 11 x 17

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

LCM = 2199120 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 7 x 11 x 17

Step 4: Therefore, the least common multiple of 3920 and 3927 is 2199120.