Least Common Multiple of 1924 and 1927

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 1927 the smallest integer that is 3707548 that is divisible by both numbers.

Least Common Multiple (LCM) of 1924 and 1927 is 3707548.

LCM(1924,1927) = 3707548

LCM of 1924 and 1927

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

LCM of:
and

Least Common Multiple of 1924 and 1927

LCM of 1924 and 1927 is 3707548

Least common multiple can be found by multiplying the highest exponent prime factors of 1924 and 1927. First we will calculate the prime factors of 1924 and 1927.

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 1927


41 1927
47 47
1

Prime factors of 1927 are 41,47. Prime factorization of 1927 in exponential form is:

1927 = 411×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1924 and 1927.

LCM(1924,1927) = 22×131×371×411×471
LCM(1924,1927) = 3707548

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 1927

List of positive integer factors of 1927 that divides 1927 without a remainder.

1, 41, 47, 1927

Least Common Multiple of 1924 and 1927 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 1927, than apply into the LCM equation.

GCF(1924,1927) = 1
LCM(1924,1927) = ( 1924 × 1927) / 1
LCM(1924,1927) = 3707548 / 1
LCM(1924,1927) = 3707548

Properties of LCM 1924 and 1927

(i) The LCM of 1927 and 1924 is associative

LCM of 1924 and 1927 = LCM of 1927 and 1924

Related Least Common Multiples of 1924

Related Least Common Multiples of 1927

Frequently Asked Questions on LCM of 1924 and 1927

1. What is the LCM of 1924 and 1927?

Answer: LCM of 1924 and 1927 is 3707548.

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 1927?

Answer: Factors of 1927 are 1, 41, 47, 1927. There are 4 integers that are factors of 1927. The greatest factor of 1927 is 1927.

4. How to Find the LCM of 1924 and 1927?

Answer:

Least Common Multiple of 1924 and 1927 = 3707548

Step 1: Find the prime factorization of 1924

1924 = 2 x 2 x 13 x 37

Step 2: Find the prime factorization of 1927

1927 = 41 x 47

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

LCM = 3707548 = 2 x 2 x 13 x 37 x 41 x 47

Step 4: Therefore, the least common multiple of 1924 and 1927 is 3707548.