Least Common Multiple of 1930 and 1935

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 1935 the smallest integer that is 746910 that is divisible by both numbers.

Least Common Multiple (LCM) of 1930 and 1935 is 746910.

LCM(1930,1935) = 746910

LCM of 1930 and 1935

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

LCM of:
and

Least Common Multiple of 1930 and 1935

LCM of 1930 and 1935 is 746910

Least common multiple can be found by multiplying the highest exponent prime factors of 1930 and 1935. First we will calculate the prime factors of 1930 and 1935.

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 1935


3 1935
3 645
5 215
43 43
1

Prime factors of 1935 are 3, 5,43. Prime factorization of 1935 in exponential form is:

1935 = 32×51×431

Now multiplying the highest exponent prime factors to calculate the LCM of 1930 and 1935.

LCM(1930,1935) = 21×32×51×431×1931
LCM(1930,1935) = 746910

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 1935

List of positive integer factors of 1935 that divides 1935 without a remainder.

1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645, 1935

Least Common Multiple of 1930 and 1935 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 1935, than apply into the LCM equation.

GCF(1930,1935) = 5
LCM(1930,1935) = ( 1930 × 1935) / 5
LCM(1930,1935) = 3734550 / 5
LCM(1930,1935) = 746910

Properties of LCM 1930 and 1935

(i) The LCM of 1935 and 1930 is associative

LCM of 1930 and 1935 = LCM of 1935 and 1930

Related Least Common Multiples of 1930

Related Least Common Multiples of 1935

Frequently Asked Questions on LCM of 1930 and 1935

1. What is the LCM of 1930 and 1935?

Answer: LCM of 1930 and 1935 is 746910.

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 1935?

Answer: Factors of 1935 are 1, 3, 5, 9, 15, 43, 45, 129, 215, 387, 645, 1935. There are 12 integers that are factors of 1935. The greatest factor of 1935 is 1935.

4. How to Find the LCM of 1930 and 1935?

Answer:

Least Common Multiple of 1930 and 1935 = 746910

Step 1: Find the prime factorization of 1930

1930 = 2 x 5 x 193

Step 2: Find the prime factorization of 1935

1935 = 3 x 3 x 5 x 43

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

LCM = 746910 = 2 x 3 x 3 x 5 x 43 x 193

Step 4: Therefore, the least common multiple of 1930 and 1935 is 746910.