Least Common Multiple of 1928 and 1932

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 1932 the smallest integer that is 931224 that is divisible by both numbers.

Least Common Multiple (LCM) of 1928 and 1932 is 931224.

LCM(1928,1932) = 931224

LCM of 1928 and 1932

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

LCM of:
and

Least Common Multiple of 1928 and 1932

LCM of 1928 and 1932 is 931224

Least common multiple can be found by multiplying the highest exponent prime factors of 1928 and 1932. First we will calculate the prime factors of 1928 and 1932.

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 1932


2 1932
2 966
3 483
7 161
23 23
1

Prime factors of 1932 are 2, 3, 7,23. Prime factorization of 1932 in exponential form is:

1932 = 22×31×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1928 and 1932.

LCM(1928,1932) = 23×31×71×231×2411
LCM(1928,1932) = 931224

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 1932

List of positive integer factors of 1932 that divides 1932 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932

Least Common Multiple of 1928 and 1932 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 1932, than apply into the LCM equation.

GCF(1928,1932) = 4
LCM(1928,1932) = ( 1928 × 1932) / 4
LCM(1928,1932) = 3724896 / 4
LCM(1928,1932) = 931224

Properties of LCM 1928 and 1932

(i) The LCM of 1932 and 1928 is associative

LCM of 1928 and 1932 = LCM of 1932 and 1928

Related Least Common Multiples of 1928

Related Least Common Multiples of 1932

Frequently Asked Questions on LCM of 1928 and 1932

1. What is the LCM of 1928 and 1932?

Answer: LCM of 1928 and 1932 is 931224.

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 1932?

Answer: Factors of 1932 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 42, 46, 69, 84, 92, 138, 161, 276, 322, 483, 644, 966, 1932. There are 24 integers that are factors of 1932. The greatest factor of 1932 is 1932.

4. How to Find the LCM of 1928 and 1932?

Answer:

Least Common Multiple of 1928 and 1932 = 931224

Step 1: Find the prime factorization of 1928

1928 = 2 x 2 x 2 x 241

Step 2: Find the prime factorization of 1932

1932 = 2 x 2 x 3 x 7 x 23

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

LCM = 931224 = 2 x 2 x 2 x 3 x 7 x 23 x 241

Step 4: Therefore, the least common multiple of 1928 and 1932 is 931224.