Least Common Multiple of 1932 and 1933

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 1933 the smallest integer that is 3734556 that is divisible by both numbers.

Least Common Multiple (LCM) of 1932 and 1933 is 3734556.

LCM(1932,1933) = 3734556

LCM of 1932 and 1933

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

LCM of:
and

Least Common Multiple of 1932 and 1933

LCM of 1932 and 1933 is 3734556

Least common multiple can be found by multiplying the highest exponent prime factors of 1932 and 1933. First we will calculate the prime factors of 1932 and 1933.

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 1933


1933 1933
1

Prime factors of 1933 are 1933. Prime factorization of 1933 in exponential form is:

1933 = 19331

Now multiplying the highest exponent prime factors to calculate the LCM of 1932 and 1933.

LCM(1932,1933) = 22×31×71×231×19331
LCM(1932,1933) = 3734556

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 1933

List of positive integer factors of 1933 that divides 1933 without a remainder.

1, 1933

Least Common Multiple of 1932 and 1933 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 1933, than apply into the LCM equation.

GCF(1932,1933) = 1
LCM(1932,1933) = ( 1932 × 1933) / 1
LCM(1932,1933) = 3734556 / 1
LCM(1932,1933) = 3734556

Properties of LCM 1932 and 1933

(i) The LCM of 1933 and 1932 is associative

LCM of 1932 and 1933 = LCM of 1933 and 1932

Related Least Common Multiples of 1932

Related Least Common Multiples of 1933

Frequently Asked Questions on LCM of 1932 and 1933

1. What is the LCM of 1932 and 1933?

Answer: LCM of 1932 and 1933 is 3734556.

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 1933?

Answer: Factors of 1933 are 1, 1933. There are 2 integers that are factors of 1933. The greatest factor of 1933 is 1933.

4. How to Find the LCM of 1932 and 1933?

Answer:

Least Common Multiple of 1932 and 1933 = 3734556

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 1933

1933 = 1933

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

LCM = 3734556 = 2 x 2 x 3 x 7 x 23 x 1933

Step 4: Therefore, the least common multiple of 1932 and 1933 is 3734556.