Least Common Multiple of 1935 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 1935 and 1938 the smallest integer that is 1250010 that is divisible by both numbers.

Least Common Multiple (LCM) of 1935 and 1938 is 1250010.

LCM(1935,1938) = 1250010

LCM of 1935 and 1938

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

LCM of:
and

Least Common Multiple of 1935 and 1938

LCM of 1935 and 1938 is 1250010

Least common multiple can be found by multiplying the highest exponent prime factors of 1935 and 1938. First we will calculate the prime factors of 1935 and 1938.

Prime Factorization of 1935


3 1935
3 645
5 215
43 43
1

Prime factors of 1935 are 3, 5,43. Prime factorization of 1935 in exponential form is:

1935 = 32×51×431

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 1935 and 1938.

LCM(1935,1938) = 21×32×51×171×191×431
LCM(1935,1938) = 1250010

Factors of 1935

List of positive integer factors of 1935 that divides 1935 without a remainder.

1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645, 1935

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 1935 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 1935 and 1938, than apply into the LCM equation.

GCF(1935,1938) = 3
LCM(1935,1938) = ( 1935 × 1938) / 3
LCM(1935,1938) = 3750030 / 3
LCM(1935,1938) = 1250010

Properties of LCM 1935 and 1938

(i) The LCM of 1938 and 1935 is associative

LCM of 1935 and 1938 = LCM of 1938 and 1935

Related Least Common Multiples of 1935

Related Least Common Multiples of 1938

Frequently Asked Questions on LCM of 1935 and 1938

1. What is the LCM of 1935 and 1938?

Answer: LCM of 1935 and 1938 is 1250010.

2. What are the Factors of 1935?

Answer: Factors of 1935 are 1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645, 1935. There are 12 integers that are factors of 1935. The greatest factor of 1935 is 1935.

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 1935 and 1938?

Answer:

Least Common Multiple of 1935 and 1938 = 1250010

Step 1: Find the prime factorization of 1935

1935 = 3 x 3 x 5 x 43

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 = 1250010 = 2 x 3 x 3 x 5 x 17 x 19 x 43

Step 4: Therefore, the least common multiple of 1935 and 1938 is 1250010.