Least Common Multiple of 1930 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 1930 and 1937 the smallest integer that is 3738410 that is divisible by both numbers.

Least Common Multiple (LCM) of 1930 and 1937 is 3738410.

LCM(1930,1937) = 3738410

LCM of 1930 and 1937

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

LCM of:
and

Least Common Multiple of 1930 and 1937

LCM of 1930 and 1937 is 3738410

Least common multiple can be found by multiplying the highest exponent prime factors of 1930 and 1937. First we will calculate the prime factors of 1930 and 1937.

Prime Factorization of 1930


2 1930
5 965
193 193
1

Prime factors of 1930 are 2, 5,193. Prime factorization of 1930 in exponential form is:

1930 = 21×51×1931

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 1930 and 1937.

LCM(1930,1937) = 21×51×131×1491×1931
LCM(1930,1937) = 3738410

Factors of 1930

List of positive integer factors of 1930 that divides 1930 without a remainder.

1, 2, 5, 10, 193, 386, 965, 1930

Factors of 1937

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

1, 13, 149, 1937

Least Common Multiple of 1930 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 1930 and 1937, than apply into the LCM equation.

GCF(1930,1937) = 1
LCM(1930,1937) = ( 1930 × 1937) / 1
LCM(1930,1937) = 3738410 / 1
LCM(1930,1937) = 3738410

Properties of LCM 1930 and 1937

(i) The LCM of 1937 and 1930 is associative

LCM of 1930 and 1937 = LCM of 1937 and 1930

Related Least Common Multiples of 1930

Related Least Common Multiples of 1937

Frequently Asked Questions on LCM of 1930 and 1937

1. What is the LCM of 1930 and 1937?

Answer: LCM of 1930 and 1937 is 3738410.

2. What are the Factors of 1930?

Answer: Factors of 1930 are 1, 2, 5, 10, 193, 386, 965, 1930. There are 8 integers that are factors of 1930. The greatest factor of 1930 is 1930.

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 1930 and 1937?

Answer:

Least Common Multiple of 1930 and 1937 = 3738410

Step 1: Find the prime factorization of 1930

1930 = 2 x 5 x 193

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 = 3738410 = 2 x 5 x 13 x 149 x 193

Step 4: Therefore, the least common multiple of 1930 and 1937 is 3738410.