Least Common Multiple of 3919 and 3924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3919 and 3924 the smallest integer that is 15378156 that is divisible by both numbers.

Least Common Multiple (LCM) of 3919 and 3924 is 15378156.

LCM(3919,3924) = 15378156

LCM of 3919 and 3924

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

LCM of:
and

Least Common Multiple of 3919 and 3924

LCM of 3919 and 3924 is 15378156

Least common multiple can be found by multiplying the highest exponent prime factors of 3919 and 3924. First we will calculate the prime factors of 3919 and 3924.

Prime Factorization of 3919


3919 3919
1

Prime factors of 3919 are 3919. Prime factorization of 3919 in exponential form is:

3919 = 39191

Prime Factorization of 3924


2 3924
2 1962
3 981
3 327
109 109
1

Prime factors of 3924 are 2, 3,109. Prime factorization of 3924 in exponential form is:

3924 = 22×32×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 3919 and 3924.

LCM(3919,3924) = 22×32×1091×39191
LCM(3919,3924) = 15378156

Factors of 3919

List of positive integer factors of 3919 that divides 3919 without a remainder.

1, 3919

Factors of 3924

List of positive integer factors of 3924 that divides 3924 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962, 3924

Least Common Multiple of 3919 and 3924 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3919 and 3924, than apply into the LCM equation.

GCF(3919,3924) = 1
LCM(3919,3924) = ( 3919 × 3924) / 1
LCM(3919,3924) = 15378156 / 1
LCM(3919,3924) = 15378156

Properties of LCM 3919 and 3924

(i) The LCM of 3924 and 3919 is associative

LCM of 3919 and 3924 = LCM of 3924 and 3919

Related Least Common Multiples of 3919

Related Least Common Multiples of 3924

Frequently Asked Questions on LCM of 3919 and 3924

1. What is the LCM of 3919 and 3924?

Answer: LCM of 3919 and 3924 is 15378156.

2. What are the Factors of 3919?

Answer: Factors of 3919 are 1, 3919. There are 2 integers that are factors of 3919. The greatest factor of 3919 is 3919.

3. What are the Factors of 3924?

Answer: Factors of 3924 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 109, 218, 327, 436, 654, 981, 1308, 1962, 3924. There are 18 integers that are factors of 3924. The greatest factor of 3924 is 3924.

4. How to Find the LCM of 3919 and 3924?

Answer:

Least Common Multiple of 3919 and 3924 = 15378156

Step 1: Find the prime factorization of 3919

3919 = 3919

Step 2: Find the prime factorization of 3924

3924 = 2 x 2 x 3 x 3 x 109

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

LCM = 15378156 = 2 x 2 x 3 x 3 x 109 x 3919

Step 4: Therefore, the least common multiple of 3919 and 3924 is 15378156.