Least Common Multiple of 3936 and 3940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3936 and 3940 the smallest integer that is 3876960 that is divisible by both numbers.

Least Common Multiple (LCM) of 3936 and 3940 is 3876960.

LCM(3936,3940) = 3876960

LCM of 3936 and 3940

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

LCM of:
and

Least Common Multiple of 3936 and 3940

LCM of 3936 and 3940 is 3876960

Least common multiple can be found by multiplying the highest exponent prime factors of 3936 and 3940. First we will calculate the prime factors of 3936 and 3940.

Prime Factorization of 3936


2 3936
2 1968
2 984
2 492
2 246
3 123
41 41
1

Prime factors of 3936 are 2, 3,41. Prime factorization of 3936 in exponential form is:

3936 = 25×31×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 3936 and 3940.

LCM(3936,3940) = 25×31×51×411×1971
LCM(3936,3940) = 3876960

Factors of 3936

List of positive integer factors of 3936 that divides 3936 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 82, 96, 123, 164, 246, 328, 492, 656, 984, 1312, 1968, 3936

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

Least Common Multiple of 3936 and 3940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3936 and 3940, than apply into the LCM equation.

GCF(3936,3940) = 4
LCM(3936,3940) = ( 3936 × 3940) / 4
LCM(3936,3940) = 15507840 / 4
LCM(3936,3940) = 3876960

Properties of LCM 3936 and 3940

(i) The LCM of 3940 and 3936 is associative

LCM of 3936 and 3940 = LCM of 3940 and 3936

Related Least Common Multiples of 3936

Related Least Common Multiples of 3940

Frequently Asked Questions on LCM of 3936 and 3940

1. What is the LCM of 3936 and 3940?

Answer: LCM of 3936 and 3940 is 3876960.

2. What are the Factors of 3936?

Answer: Factors of 3936 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 82, 96, 123, 164, 246, 328, 492, 656, 984, 1312, 1968, 3936. There are 24 integers that are factors of 3936. The greatest factor of 3936 is 3936.

3. 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.

4. How to Find the LCM of 3936 and 3940?

Answer:

Least Common Multiple of 3936 and 3940 = 3876960

Step 1: Find the prime factorization of 3936

3936 = 2 x 2 x 2 x 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 3940

3940 = 2 x 2 x 5 x 197

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

LCM = 3876960 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 41 x 197

Step 4: Therefore, the least common multiple of 3936 and 3940 is 3876960.