Least Common Multiple of 1932 and 1936

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 1936 the smallest integer that is 935088 that is divisible by both numbers.

Least Common Multiple (LCM) of 1932 and 1936 is 935088.

LCM(1932,1936) = 935088

LCM of 1932 and 1936

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

LCM of:
and

Least Common Multiple of 1932 and 1936

LCM of 1932 and 1936 is 935088

Least common multiple can be found by multiplying the highest exponent prime factors of 1932 and 1936. First we will calculate the prime factors of 1932 and 1936.

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 1936


2 1936
2 968
2 484
2 242
11 121
11 11
1

Prime factors of 1936 are 2,11. Prime factorization of 1936 in exponential form is:

1936 = 24×112

Now multiplying the highest exponent prime factors to calculate the LCM of 1932 and 1936.

LCM(1932,1936) = 24×31×71×112×231
LCM(1932,1936) = 935088

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 1936

List of positive integer factors of 1936 that divides 1936 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936

Least Common Multiple of 1932 and 1936 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 1936, than apply into the LCM equation.

GCF(1932,1936) = 4
LCM(1932,1936) = ( 1932 × 1936) / 4
LCM(1932,1936) = 3740352 / 4
LCM(1932,1936) = 935088

Properties of LCM 1932 and 1936

(i) The LCM of 1936 and 1932 is associative

LCM of 1932 and 1936 = LCM of 1936 and 1932

Related Least Common Multiples of 1932

Related Least Common Multiples of 1936

Frequently Asked Questions on LCM of 1932 and 1936

1. What is the LCM of 1932 and 1936?

Answer: LCM of 1932 and 1936 is 935088.

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 1936?

Answer: Factors of 1936 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936. There are 15 integers that are factors of 1936. The greatest factor of 1936 is 1936.

4. How to Find the LCM of 1932 and 1936?

Answer:

Least Common Multiple of 1932 and 1936 = 935088

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 1936

1936 = 2 x 2 x 2 x 2 x 11 x 11

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

LCM = 935088 = 2 x 2 x 2 x 2 x 3 x 7 x 11 x 11 x 23

Step 4: Therefore, the least common multiple of 1932 and 1936 is 935088.