Least Common Multiple of 1933 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 1933 and 1937 the smallest integer that is 3744221 that is divisible by both numbers.

Least Common Multiple (LCM) of 1933 and 1937 is 3744221.

LCM(1933,1937) = 3744221

LCM of 1933 and 1937

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

LCM of:
and

Least Common Multiple of 1933 and 1937

LCM of 1933 and 1937 is 3744221

Least common multiple can be found by multiplying the highest exponent prime factors of 1933 and 1937. First we will calculate the prime factors of 1933 and 1937.

Prime Factorization of 1933


1933 1933
1

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

1933 = 19331

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 1933 and 1937.

LCM(1933,1937) = 131×1491×19331
LCM(1933,1937) = 3744221

Factors of 1933

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

1, 1933

Factors of 1937

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

1, 13, 149, 1937

Least Common Multiple of 1933 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 1933 and 1937, than apply into the LCM equation.

GCF(1933,1937) = 1
LCM(1933,1937) = ( 1933 × 1937) / 1
LCM(1933,1937) = 3744221 / 1
LCM(1933,1937) = 3744221

Properties of LCM 1933 and 1937

(i) The LCM of 1937 and 1933 is associative

LCM of 1933 and 1937 = LCM of 1937 and 1933

Related Least Common Multiples of 1933

Related Least Common Multiples of 1937

Frequently Asked Questions on LCM of 1933 and 1937

1. What is the LCM of 1933 and 1937?

Answer: LCM of 1933 and 1937 is 3744221.

2. 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.

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 1933 and 1937?

Answer:

Least Common Multiple of 1933 and 1937 = 3744221

Step 1: Find the prime factorization of 1933

1933 = 1933

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 = 3744221 = 13 x 149 x 1933

Step 4: Therefore, the least common multiple of 1933 and 1937 is 3744221.