Least Common Multiple of 3920 and 3926

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 3926 the smallest integer that is 7694960 that is divisible by both numbers.

Least Common Multiple (LCM) of 3920 and 3926 is 7694960.

LCM(3920,3926) = 7694960

LCM of 3920 and 3926

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

LCM of:
and

Least Common Multiple of 3920 and 3926

LCM of 3920 and 3926 is 7694960

Least common multiple can be found by multiplying the highest exponent prime factors of 3920 and 3926. First we will calculate the prime factors of 3920 and 3926.

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 3926


2 3926
13 1963
151 151
1

Prime factors of 3926 are 2, 13,151. Prime factorization of 3926 in exponential form is:

3926 = 21×131×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 3920 and 3926.

LCM(3920,3926) = 24×51×72×131×1511
LCM(3920,3926) = 7694960

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 3926

List of positive integer factors of 3926 that divides 3926 without a remainder.

1, 2, 13, 26, 151, 302, 1963, 3926

Least Common Multiple of 3920 and 3926 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 3926, than apply into the LCM equation.

GCF(3920,3926) = 2
LCM(3920,3926) = ( 3920 × 3926) / 2
LCM(3920,3926) = 15389920 / 2
LCM(3920,3926) = 7694960

Properties of LCM 3920 and 3926

(i) The LCM of 3926 and 3920 is associative

LCM of 3920 and 3926 = LCM of 3926 and 3920

Related Least Common Multiples of 3920

Related Least Common Multiples of 3926

Frequently Asked Questions on LCM of 3920 and 3926

1. What is the LCM of 3920 and 3926?

Answer: LCM of 3920 and 3926 is 7694960.

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 3926?

Answer: Factors of 3926 are 1, 2, 13, 26, 151, 302, 1963, 3926. There are 8 integers that are factors of 3926. The greatest factor of 3926 is 3926.

4. How to Find the LCM of 3920 and 3926?

Answer:

Least Common Multiple of 3920 and 3926 = 7694960

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 3926

3926 = 2 x 13 x 151

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

LCM = 7694960 = 2 x 2 x 2 x 2 x 5 x 7 x 7 x 13 x 151

Step 4: Therefore, the least common multiple of 3920 and 3926 is 7694960.