Least Common Multiple of 1938 and 1944

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 1944 the smallest integer that is 627912 that is divisible by both numbers.

Least Common Multiple (LCM) of 1938 and 1944 is 627912.

LCM(1938,1944) = 627912

LCM of 1938 and 1944

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

LCM of:
and

Least Common Multiple of 1938 and 1944

LCM of 1938 and 1944 is 627912

Least common multiple can be found by multiplying the highest exponent prime factors of 1938 and 1944. First we will calculate the prime factors of 1938 and 1944.

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 1944


2 1944
2 972
2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 1944 are 2,3. Prime factorization of 1944 in exponential form is:

1944 = 23×35

Now multiplying the highest exponent prime factors to calculate the LCM of 1938 and 1944.

LCM(1938,1944) = 23×35×171×191
LCM(1938,1944) = 627912

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 1944

List of positive integer factors of 1944 that divides 1944 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, 1944

Least Common Multiple of 1938 and 1944 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 1944, than apply into the LCM equation.

GCF(1938,1944) = 6
LCM(1938,1944) = ( 1938 × 1944) / 6
LCM(1938,1944) = 3767472 / 6
LCM(1938,1944) = 627912

Properties of LCM 1938 and 1944

(i) The LCM of 1944 and 1938 is associative

LCM of 1938 and 1944 = LCM of 1944 and 1938

Related Least Common Multiples of 1938

Related Least Common Multiples of 1944

Frequently Asked Questions on LCM of 1938 and 1944

1. What is the LCM of 1938 and 1944?

Answer: LCM of 1938 and 1944 is 627912.

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 1944?

Answer: Factors of 1944 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 972, 1944. There are 24 integers that are factors of 1944. The greatest factor of 1944 is 1944.

4. How to Find the LCM of 1938 and 1944?

Answer:

Least Common Multiple of 1938 and 1944 = 627912

Step 1: Find the prime factorization of 1938

1938 = 2 x 3 x 17 x 19

Step 2: Find the prime factorization of 1944

1944 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3

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

LCM = 627912 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 17 x 19

Step 4: Therefore, the least common multiple of 1938 and 1944 is 627912.