Least Common Multiple of 1925 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 1925 and 1927 the smallest integer that is 3709475 that is divisible by both numbers.

Least Common Multiple (LCM) of 1925 and 1927 is 3709475.

LCM(1925,1927) = 3709475

LCM of 1925 and 1927

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

LCM of:
and

Least Common Multiple of 1925 and 1927

LCM of 1925 and 1927 is 3709475

Least common multiple can be found by multiplying the highest exponent prime factors of 1925 and 1927. First we will calculate the prime factors of 1925 and 1927.

Prime Factorization of 1925


5 1925
5 385
7 77
11 11
1

Prime factors of 1925 are 5, 7,11. Prime factorization of 1925 in exponential form is:

1925 = 52×71×111

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 1925 and 1927.

LCM(1925,1927) = 52×71×111×411×471
LCM(1925,1927) = 3709475

Factors of 1925

List of positive integer factors of 1925 that divides 1925 without a remainder.

1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925

Factors of 1927

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

1, 41, 47, 1927

Least Common Multiple of 1925 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 1925 and 1927, than apply into the LCM equation.

GCF(1925,1927) = 1
LCM(1925,1927) = ( 1925 × 1927) / 1
LCM(1925,1927) = 3709475 / 1
LCM(1925,1927) = 3709475

Properties of LCM 1925 and 1927

(i) The LCM of 1927 and 1925 is associative

LCM of 1925 and 1927 = LCM of 1927 and 1925

Related Least Common Multiples of 1925

Related Least Common Multiples of 1927

Frequently Asked Questions on LCM of 1925 and 1927

1. What is the LCM of 1925 and 1927?

Answer: LCM of 1925 and 1927 is 3709475.

2. What are the Factors of 1925?

Answer: Factors of 1925 are 1, 5, 7, 11, 25, 35, 55, 77, 175, 275, 385, 1925. There are 12 integers that are factors of 1925. The greatest factor of 1925 is 1925.

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 1925 and 1927?

Answer:

Least Common Multiple of 1925 and 1927 = 3709475

Step 1: Find the prime factorization of 1925

1925 = 5 x 5 x 7 x 11

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 = 3709475 = 5 x 5 x 7 x 11 x 41 x 47

Step 4: Therefore, the least common multiple of 1925 and 1927 is 3709475.