Least Common Multiple of 1928 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 1928 and 1935 the smallest integer that is 3730680 that is divisible by both numbers.

Least Common Multiple (LCM) of 1928 and 1935 is 3730680.

LCM(1928,1935) = 3730680

LCM of 1928 and 1935

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

LCM of:
and

Least Common Multiple of 1928 and 1935

LCM of 1928 and 1935 is 3730680

Least common multiple can be found by multiplying the highest exponent prime factors of 1928 and 1935. First we will calculate the prime factors of 1928 and 1935.

Prime Factorization of 1928


2 1928
2 964
2 482
241 241
1

Prime factors of 1928 are 2,241. Prime factorization of 1928 in exponential form is:

1928 = 23×2411

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 1928 and 1935.

LCM(1928,1935) = 23×32×51×431×2411
LCM(1928,1935) = 3730680

Factors of 1928

List of positive integer factors of 1928 that divides 1928 without a remainder.

1, 2, 4, 8, 241, 482, 964, 1928

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 1928 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 1928 and 1935, than apply into the LCM equation.

GCF(1928,1935) = 1
LCM(1928,1935) = ( 1928 × 1935) / 1
LCM(1928,1935) = 3730680 / 1
LCM(1928,1935) = 3730680

Properties of LCM 1928 and 1935

(i) The LCM of 1935 and 1928 is associative

LCM of 1928 and 1935 = LCM of 1935 and 1928

Related Least Common Multiples of 1928

Related Least Common Multiples of 1935

Frequently Asked Questions on LCM of 1928 and 1935

1. What is the LCM of 1928 and 1935?

Answer: LCM of 1928 and 1935 is 3730680.

2. What are the Factors of 1928?

Answer: Factors of 1928 are 1, 2, 4, 8, 241, 482, 964, 1928. There are 8 integers that are factors of 1928. The greatest factor of 1928 is 1928.

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 1928 and 1935?

Answer:

Least Common Multiple of 1928 and 1935 = 3730680

Step 1: Find the prime factorization of 1928

1928 = 2 x 2 x 2 x 241

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 = 3730680 = 2 x 2 x 2 x 3 x 3 x 5 x 43 x 241

Step 4: Therefore, the least common multiple of 1928 and 1935 is 3730680.