Least Common Multiple of 1936 and 1940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1936 and 1940 the smallest integer that is 938960 that is divisible by both numbers.

Least Common Multiple (LCM) of 1936 and 1940 is 938960.

LCM(1936,1940) = 938960

LCM of 1936 and 1940

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

LCM of:
and

Least Common Multiple of 1936 and 1940

LCM of 1936 and 1940 is 938960

Least common multiple can be found by multiplying the highest exponent prime factors of 1936 and 1940. First we will calculate the prime factors of 1936 and 1940.

Prime Factorization of 1936


2 1936
2 968
2 484
2 242
11 121
11 11
1

Prime factors of 1936 are 2,11. Prime factorization of 1936 in exponential form is:

1936 = 24×112

Prime Factorization of 1940


2 1940
2 970
5 485
97 97
1

Prime factors of 1940 are 2, 5,97. Prime factorization of 1940 in exponential form is:

1940 = 22×51×971

Now multiplying the highest exponent prime factors to calculate the LCM of 1936 and 1940.

LCM(1936,1940) = 24×51×112×971
LCM(1936,1940) = 938960

Factors of 1936

List of positive integer factors of 1936 that divides 1936 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936

Factors of 1940

List of positive integer factors of 1940 that divides 1940 without a remainder.

1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940

Least Common Multiple of 1936 and 1940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1936 and 1940, than apply into the LCM equation.

GCF(1936,1940) = 4
LCM(1936,1940) = ( 1936 × 1940) / 4
LCM(1936,1940) = 3755840 / 4
LCM(1936,1940) = 938960

Properties of LCM 1936 and 1940

(i) The LCM of 1940 and 1936 is associative

LCM of 1936 and 1940 = LCM of 1940 and 1936

Related Least Common Multiples of 1936

Related Least Common Multiples of 1940

Frequently Asked Questions on LCM of 1936 and 1940

1. What is the LCM of 1936 and 1940?

Answer: LCM of 1936 and 1940 is 938960.

2. What are the Factors of 1936?

Answer: Factors of 1936 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936. There are 15 integers that are factors of 1936. The greatest factor of 1936 is 1936.

3. What are the Factors of 1940?

Answer: Factors of 1940 are 1, 2, 4, 5, 10, 20, 97, 194, 388, 485, 970, 1940. There are 12 integers that are factors of 1940. The greatest factor of 1940 is 1940.

4. How to Find the LCM of 1936 and 1940?

Answer:

Least Common Multiple of 1936 and 1940 = 938960

Step 1: Find the prime factorization of 1936

1936 = 2 x 2 x 2 x 2 x 11 x 11

Step 2: Find the prime factorization of 1940

1940 = 2 x 2 x 5 x 97

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

LCM = 938960 = 2 x 2 x 2 x 2 x 5 x 11 x 11 x 97

Step 4: Therefore, the least common multiple of 1936 and 1940 is 938960.