Least Common Multiple of 1932 and 1938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1932 and 1938 the smallest integer that is 624036 that is divisible by both numbers.

Least Common Multiple (LCM) of 1932 and 1938 is 624036.

LCM(1932,1938) = 624036

LCM of 1932 and 1938

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

LCM of:
and

Least Common Multiple of 1932 and 1938

LCM of 1932 and 1938 is 624036

Least common multiple can be found by multiplying the highest exponent prime factors of 1932 and 1938. First we will calculate the prime factors of 1932 and 1938.

Prime Factorization of 1932


2 1932
2 966
3 483
7 161
23 23
1

Prime factors of 1932 are 2, 3, 7,23. Prime factorization of 1932 in exponential form is:

1932 = 22×31×71×231

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1932 and 1938.

LCM(1932,1938) = 22×31×71×171×191×231
LCM(1932,1938) = 624036

Factors of 1932

List of positive integer factors of 1932 that divides 1932 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932

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

Least Common Multiple of 1932 and 1938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1932 and 1938, than apply into the LCM equation.

GCF(1932,1938) = 6
LCM(1932,1938) = ( 1932 × 1938) / 6
LCM(1932,1938) = 3744216 / 6
LCM(1932,1938) = 624036

Properties of LCM 1932 and 1938

(i) The LCM of 1938 and 1932 is associative

LCM of 1932 and 1938 = LCM of 1938 and 1932

Related Least Common Multiples of 1932

Related Least Common Multiples of 1938

Frequently Asked Questions on LCM of 1932 and 1938

1. What is the LCM of 1932 and 1938?

Answer: LCM of 1932 and 1938 is 624036.

2. What are the Factors of 1932?

Answer: Factors of 1932 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932. There are 24 integers that are factors of 1932. The greatest factor of 1932 is 1932.

3. 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.

4. How to Find the LCM of 1932 and 1938?

Answer:

Least Common Multiple of 1932 and 1938 = 624036

Step 1: Find the prime factorization of 1932

1932 = 2 x 2 x 3 x 7 x 23

Step 2: Find the prime factorization of 1938

1938 = 2 x 3 x 17 x 19

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

LCM = 624036 = 2 x 2 x 3 x 7 x 17 x 19 x 23

Step 4: Therefore, the least common multiple of 1932 and 1938 is 624036.