Least Common Multiple of 1928 and 1936

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 1936 the smallest integer that is 466576 that is divisible by both numbers.

Least Common Multiple (LCM) of 1928 and 1936 is 466576.

LCM(1928,1936) = 466576

LCM of 1928 and 1936

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

LCM of:
and

Least Common Multiple of 1928 and 1936

LCM of 1928 and 1936 is 466576

Least common multiple can be found by multiplying the highest exponent prime factors of 1928 and 1936. First we will calculate the prime factors of 1928 and 1936.

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 1936


2 1936
2 968
2 484
2 242
11 121
11 11
1

Prime factors of 1936 are 2,11. Prime factorization of 1936 in exponential form is:

1936 = 24×112

Now multiplying the highest exponent prime factors to calculate the LCM of 1928 and 1936.

LCM(1928,1936) = 24×112×2411
LCM(1928,1936) = 466576

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 1936

List of positive integer factors of 1936 that divides 1936 without a remainder.

1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936

Least Common Multiple of 1928 and 1936 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 1936, than apply into the LCM equation.

GCF(1928,1936) = 8
LCM(1928,1936) = ( 1928 × 1936) / 8
LCM(1928,1936) = 3732608 / 8
LCM(1928,1936) = 466576

Properties of LCM 1928 and 1936

(i) The LCM of 1936 and 1928 is associative

LCM of 1928 and 1936 = LCM of 1936 and 1928

Related Least Common Multiples of 1928

Related Least Common Multiples of 1936

Frequently Asked Questions on LCM of 1928 and 1936

1. What is the LCM of 1928 and 1936?

Answer: LCM of 1928 and 1936 is 466576.

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 1936?

Answer: Factors of 1936 are 1, 2, 4, 8, 11, 16, 22, 44, 88, 121, 176, 242, 484, 968, 1936. There are 15 integers that are factors of 1936. The greatest factor of 1936 is 1936.

4. How to Find the LCM of 1928 and 1936?

Answer:

Least Common Multiple of 1928 and 1936 = 466576

Step 1: Find the prime factorization of 1928

1928 = 2 x 2 x 2 x 241

Step 2: Find the prime factorization of 1936

1936 = 2 x 2 x 2 x 2 x 11 x 11

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

LCM = 466576 = 2 x 2 x 2 x 2 x 11 x 11 x 241

Step 4: Therefore, the least common multiple of 1928 and 1936 is 466576.