Least Common Multiple of 1934 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 1934 and 1940 the smallest integer that is 1875980 that is divisible by both numbers.

Least Common Multiple (LCM) of 1934 and 1940 is 1875980.

LCM(1934,1940) = 1875980

LCM of 1934 and 1940

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

LCM of:
and

Least Common Multiple of 1934 and 1940

LCM of 1934 and 1940 is 1875980

Least common multiple can be found by multiplying the highest exponent prime factors of 1934 and 1940. First we will calculate the prime factors of 1934 and 1940.

Prime Factorization of 1934


2 1934
967 967
1

Prime factors of 1934 are 2,967. Prime factorization of 1934 in exponential form is:

1934 = 21×9671

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 1934 and 1940.

LCM(1934,1940) = 22×51×971×9671
LCM(1934,1940) = 1875980

Factors of 1934

List of positive integer factors of 1934 that divides 1934 without a remainder.

1, 2, 967, 1934

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 1934 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 1934 and 1940, than apply into the LCM equation.

GCF(1934,1940) = 2
LCM(1934,1940) = ( 1934 × 1940) / 2
LCM(1934,1940) = 3751960 / 2
LCM(1934,1940) = 1875980

Properties of LCM 1934 and 1940

(i) The LCM of 1940 and 1934 is associative

LCM of 1934 and 1940 = LCM of 1940 and 1934

Related Least Common Multiples of 1934

Related Least Common Multiples of 1940

Frequently Asked Questions on LCM of 1934 and 1940

1. What is the LCM of 1934 and 1940?

Answer: LCM of 1934 and 1940 is 1875980.

2. What are the Factors of 1934?

Answer: Factors of 1934 are 1, 2, 967, 1934. There are 4 integers that are factors of 1934. The greatest factor of 1934 is 1934.

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 1934 and 1940?

Answer:

Least Common Multiple of 1934 and 1940 = 1875980

Step 1: Find the prime factorization of 1934

1934 = 2 x 967

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 = 1875980 = 2 x 2 x 5 x 97 x 967

Step 4: Therefore, the least common multiple of 1934 and 1940 is 1875980.