Least Common Multiple of 1938 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 1938 and 1940 the smallest integer that is 1879860 that is divisible by both numbers.

Least Common Multiple (LCM) of 1938 and 1940 is 1879860.

LCM(1938,1940) = 1879860

LCM of 1938 and 1940

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

LCM of:
and

Least Common Multiple of 1938 and 1940

LCM of 1938 and 1940 is 1879860

Least common multiple can be found by multiplying the highest exponent prime factors of 1938 and 1940. First we will calculate the prime factors of 1938 and 1940.

Prime Factorization of 1938


2 1938
3 969
17 323
19 19
1

Prime factors of 1938 are 2, 3, 17,19. Prime factorization of 1938 in exponential form is:

1938 = 21×31×171×191

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 1938 and 1940.

LCM(1938,1940) = 22×31×51×171×191×971
LCM(1938,1940) = 1879860

Factors of 1938

List of positive integer factors of 1938 that divides 1938 without a remainder.

1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938

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 1938 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 1938 and 1940, than apply into the LCM equation.

GCF(1938,1940) = 2
LCM(1938,1940) = ( 1938 × 1940) / 2
LCM(1938,1940) = 3759720 / 2
LCM(1938,1940) = 1879860

Properties of LCM 1938 and 1940

(i) The LCM of 1940 and 1938 is associative

LCM of 1938 and 1940 = LCM of 1940 and 1938

Related Least Common Multiples of 1938

Related Least Common Multiples of 1940

Frequently Asked Questions on LCM of 1938 and 1940

1. What is the LCM of 1938 and 1940?

Answer: LCM of 1938 and 1940 is 1879860.

2. What are the Factors of 1938?

Answer: Factors of 1938 are 1, 2, 3, 6, 17, 19, 34, 38, 51, 57, 102, 114, 323, 646, 969, 1938. There are 16 integers that are factors of 1938. The greatest factor of 1938 is 1938.

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 1938 and 1940?

Answer:

Least Common Multiple of 1938 and 1940 = 1879860

Step 1: Find the prime factorization of 1938

1938 = 2 x 3 x 17 x 19

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 = 1879860 = 2 x 2 x 3 x 5 x 17 x 19 x 97

Step 4: Therefore, the least common multiple of 1938 and 1940 is 1879860.