Least Common Multiple of 1927 and 1929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1927 and 1929 the smallest integer that is 3717183 that is divisible by both numbers.

Least Common Multiple (LCM) of 1927 and 1929 is 3717183.

LCM(1927,1929) = 3717183

LCM of 1927 and 1929

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

LCM of:
and

Least Common Multiple of 1927 and 1929

LCM of 1927 and 1929 is 3717183

Least common multiple can be found by multiplying the highest exponent prime factors of 1927 and 1929. First we will calculate the prime factors of 1927 and 1929.

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

Prime Factorization of 1929


3 1929
643 643
1

Prime factors of 1929 are 3,643. Prime factorization of 1929 in exponential form is:

1929 = 31×6431

Now multiplying the highest exponent prime factors to calculate the LCM of 1927 and 1929.

LCM(1927,1929) = 31×411×471×6431
LCM(1927,1929) = 3717183

Factors of 1927

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

1, 41, 47, 1927

Factors of 1929

List of positive integer factors of 1929 that divides 1929 without a remainder.

1, 3, 643, 1929

Least Common Multiple of 1927 and 1929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1927 and 1929, than apply into the LCM equation.

GCF(1927,1929) = 1
LCM(1927,1929) = ( 1927 × 1929) / 1
LCM(1927,1929) = 3717183 / 1
LCM(1927,1929) = 3717183

Properties of LCM 1927 and 1929

(i) The LCM of 1929 and 1927 is associative

LCM of 1927 and 1929 = LCM of 1929 and 1927

Related Least Common Multiples of 1927

Related Least Common Multiples of 1929

Frequently Asked Questions on LCM of 1927 and 1929

1. What is the LCM of 1927 and 1929?

Answer: LCM of 1927 and 1929 is 3717183.

2. 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.

3. What are the Factors of 1929?

Answer: Factors of 1929 are 1, 3, 643, 1929. There are 4 integers that are factors of 1929. The greatest factor of 1929 is 1929.

4. How to Find the LCM of 1927 and 1929?

Answer:

Least Common Multiple of 1927 and 1929 = 3717183

Step 1: Find the prime factorization of 1927

1927 = 41 x 47

Step 2: Find the prime factorization of 1929

1929 = 3 x 643

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

LCM = 3717183 = 3 x 41 x 47 x 643

Step 4: Therefore, the least common multiple of 1927 and 1929 is 3717183.