Least Common Multiple of 1932 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 1932 and 1940 the smallest integer that is 937020 that is divisible by both numbers.

Least Common Multiple (LCM) of 1932 and 1940 is 937020.

LCM(1932,1940) = 937020

LCM of 1932 and 1940

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

LCM of:
and

Least Common Multiple of 1932 and 1940

LCM of 1932 and 1940 is 937020

Least common multiple can be found by multiplying the highest exponent prime factors of 1932 and 1940. First we will calculate the prime factors of 1932 and 1940.

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 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 1932 and 1940.

LCM(1932,1940) = 22×31×51×71×231×971
LCM(1932,1940) = 937020

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 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 1932 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 1932 and 1940, than apply into the LCM equation.

GCF(1932,1940) = 4
LCM(1932,1940) = ( 1932 × 1940) / 4
LCM(1932,1940) = 3748080 / 4
LCM(1932,1940) = 937020

Properties of LCM 1932 and 1940

(i) The LCM of 1940 and 1932 is associative

LCM of 1932 and 1940 = LCM of 1940 and 1932

Related Least Common Multiples of 1932

Related Least Common Multiples of 1940

Frequently Asked Questions on LCM of 1932 and 1940

1. What is the LCM of 1932 and 1940?

Answer: LCM of 1932 and 1940 is 937020.

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 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 1932 and 1940?

Answer:

Least Common Multiple of 1932 and 1940 = 937020

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 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 = 937020 = 2 x 2 x 3 x 5 x 7 x 23 x 97

Step 4: Therefore, the least common multiple of 1932 and 1940 is 937020.