Least Common Multiple of 1932 and 1937

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 1937 the smallest integer that is 3742284 that is divisible by both numbers.

Least Common Multiple (LCM) of 1932 and 1937 is 3742284.

LCM(1932,1937) = 3742284

LCM of 1932 and 1937

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

LCM of:
and

Least Common Multiple of 1932 and 1937

LCM of 1932 and 1937 is 3742284

Least common multiple can be found by multiplying the highest exponent prime factors of 1932 and 1937. First we will calculate the prime factors of 1932 and 1937.

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 1937


13 1937
149 149
1

Prime factors of 1937 are 13,149. Prime factorization of 1937 in exponential form is:

1937 = 131×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 1932 and 1937.

LCM(1932,1937) = 22×31×71×131×231×1491
LCM(1932,1937) = 3742284

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 1937

List of positive integer factors of 1937 that divides 1937 without a remainder.

1, 13, 149, 1937

Least Common Multiple of 1932 and 1937 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 1937, than apply into the LCM equation.

GCF(1932,1937) = 1
LCM(1932,1937) = ( 1932 × 1937) / 1
LCM(1932,1937) = 3742284 / 1
LCM(1932,1937) = 3742284

Properties of LCM 1932 and 1937

(i) The LCM of 1937 and 1932 is associative

LCM of 1932 and 1937 = LCM of 1937 and 1932

Related Least Common Multiples of 1932

Related Least Common Multiples of 1937

Frequently Asked Questions on LCM of 1932 and 1937

1. What is the LCM of 1932 and 1937?

Answer: LCM of 1932 and 1937 is 3742284.

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 1937?

Answer: Factors of 1937 are 1, 13, 149, 1937. There are 4 integers that are factors of 1937. The greatest factor of 1937 is 1937.

4. How to Find the LCM of 1932 and 1937?

Answer:

Least Common Multiple of 1932 and 1937 = 3742284

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 1937

1937 = 13 x 149

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

LCM = 3742284 = 2 x 2 x 3 x 7 x 13 x 23 x 149

Step 4: Therefore, the least common multiple of 1932 and 1937 is 3742284.