Least Common Multiple of 1935 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 1935 and 1940 the smallest integer that is 750780 that is divisible by both numbers.

Least Common Multiple (LCM) of 1935 and 1940 is 750780.

LCM(1935,1940) = 750780

LCM of 1935 and 1940

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

LCM of:
and

Least Common Multiple of 1935 and 1940

LCM of 1935 and 1940 is 750780

Least common multiple can be found by multiplying the highest exponent prime factors of 1935 and 1940. First we will calculate the prime factors of 1935 and 1940.

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 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 1935 and 1940.

LCM(1935,1940) = 22×32×51×431×971
LCM(1935,1940) = 750780

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 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 1935 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 1935 and 1940, than apply into the LCM equation.

GCF(1935,1940) = 5
LCM(1935,1940) = ( 1935 × 1940) / 5
LCM(1935,1940) = 3753900 / 5
LCM(1935,1940) = 750780

Properties of LCM 1935 and 1940

(i) The LCM of 1940 and 1935 is associative

LCM of 1935 and 1940 = LCM of 1940 and 1935

Related Least Common Multiples of 1935

Related Least Common Multiples of 1940

Frequently Asked Questions on LCM of 1935 and 1940

1. What is the LCM of 1935 and 1940?

Answer: LCM of 1935 and 1940 is 750780.

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 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 1935 and 1940?

Answer:

Least Common Multiple of 1935 and 1940 = 750780

Step 1: Find the prime factorization of 1935

1935 = 3 x 3 x 5 x 43

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 = 750780 = 2 x 2 x 3 x 3 x 5 x 43 x 97

Step 4: Therefore, the least common multiple of 1935 and 1940 is 750780.