Least Common Multiple of 3940 and 3947

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3940 and 3947 the smallest integer that is 15551180 that is divisible by both numbers.

Least Common Multiple (LCM) of 3940 and 3947 is 15551180.

LCM(3940,3947) = 15551180

LCM of 3940 and 3947

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

LCM of:
and

Least Common Multiple of 3940 and 3947

LCM of 3940 and 3947 is 15551180

Least common multiple can be found by multiplying the highest exponent prime factors of 3940 and 3947. First we will calculate the prime factors of 3940 and 3947.

Prime Factorization of 3940


2 3940
2 1970
5 985
197 197
1

Prime factors of 3940 are 2, 5,197. Prime factorization of 3940 in exponential form is:

3940 = 22×51×1971

Prime Factorization of 3947


3947 3947
1

Prime factors of 3947 are 3947. Prime factorization of 3947 in exponential form is:

3947 = 39471

Now multiplying the highest exponent prime factors to calculate the LCM of 3940 and 3947.

LCM(3940,3947) = 22×51×1971×39471
LCM(3940,3947) = 15551180

Factors of 3940

List of positive integer factors of 3940 that divides 3940 without a remainder.

1, 2, 4, 5, 10, 20, 197, 394, 788, 985, 1970, 3940

Factors of 3947

List of positive integer factors of 3947 that divides 3947 without a remainder.

1, 3947

Least Common Multiple of 3940 and 3947 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3940 and 3947, than apply into the LCM equation.

GCF(3940,3947) = 1
LCM(3940,3947) = ( 3940 × 3947) / 1
LCM(3940,3947) = 15551180 / 1
LCM(3940,3947) = 15551180

Properties of LCM 3940 and 3947

(i) The LCM of 3947 and 3940 is associative

LCM of 3940 and 3947 = LCM of 3947 and 3940

Related Least Common Multiples of 3940

Related Least Common Multiples of 3947

Frequently Asked Questions on LCM of 3940 and 3947

1. What is the LCM of 3940 and 3947?

Answer: LCM of 3940 and 3947 is 15551180.

2. What are the Factors of 3940?

Answer: Factors of 3940 are 1, 2, 4, 5, 10, 20, 197, 394, 788, 985, 1970, 3940. There are 12 integers that are factors of 3940. The greatest factor of 3940 is 3940.

3. What are the Factors of 3947?

Answer: Factors of 3947 are 1, 3947. There are 2 integers that are factors of 3947. The greatest factor of 3947 is 3947.

4. How to Find the LCM of 3940 and 3947?

Answer:

Least Common Multiple of 3940 and 3947 = 15551180

Step 1: Find the prime factorization of 3940

3940 = 2 x 2 x 5 x 197

Step 2: Find the prime factorization of 3947

3947 = 3947

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

LCM = 15551180 = 2 x 2 x 5 x 197 x 3947

Step 4: Therefore, the least common multiple of 3940 and 3947 is 15551180.