Least Common Multiple of 1924 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 1924 and 1932 the smallest integer that is 929292 that is divisible by both numbers.

Least Common Multiple (LCM) of 1924 and 1932 is 929292.

LCM(1924,1932) = 929292

LCM of 1924 and 1932

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

LCM of:
and

Least Common Multiple of 1924 and 1932

LCM of 1924 and 1932 is 929292

Least common multiple can be found by multiplying the highest exponent prime factors of 1924 and 1932. First we will calculate the prime factors of 1924 and 1932.

Prime Factorization of 1924


2 1924
2 962
13 481
37 37
1

Prime factors of 1924 are 2, 13,37. Prime factorization of 1924 in exponential form is:

1924 = 22×131×371

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 1924 and 1932.

LCM(1924,1932) = 22×31×71×131×231×371
LCM(1924,1932) = 929292

Factors of 1924

List of positive integer factors of 1924 that divides 1924 without a remainder.

1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924

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 1924 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 1924 and 1932, than apply into the LCM equation.

GCF(1924,1932) = 4
LCM(1924,1932) = ( 1924 × 1932) / 4
LCM(1924,1932) = 3717168 / 4
LCM(1924,1932) = 929292

Properties of LCM 1924 and 1932

(i) The LCM of 1932 and 1924 is associative

LCM of 1924 and 1932 = LCM of 1932 and 1924

Related Least Common Multiples of 1924

Related Least Common Multiples of 1932

Frequently Asked Questions on LCM of 1924 and 1932

1. What is the LCM of 1924 and 1932?

Answer: LCM of 1924 and 1932 is 929292.

2. What are the Factors of 1924?

Answer: Factors of 1924 are 1, 2, 4, 13, 26, 37, 52, 74, 148, 481, 962, 1924. There are 12 integers that are factors of 1924. The greatest factor of 1924 is 1924.

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 1924 and 1932?

Answer:

Least Common Multiple of 1924 and 1932 = 929292

Step 1: Find the prime factorization of 1924

1924 = 2 x 2 x 13 x 37

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 = 929292 = 2 x 2 x 3 x 7 x 13 x 23 x 37

Step 4: Therefore, the least common multiple of 1924 and 1932 is 929292.