Least Common Multiple of 2919 and 2925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2919 and 2925 the smallest integer that is 2846025 that is divisible by both numbers.

Least Common Multiple (LCM) of 2919 and 2925 is 2846025.

LCM(2919,2925) = 2846025

LCM of 2919 and 2925

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

LCM of:
and

Least Common Multiple of 2919 and 2925

LCM of 2919 and 2925 is 2846025

Least common multiple can be found by multiplying the highest exponent prime factors of 2919 and 2925. First we will calculate the prime factors of 2919 and 2925.

Prime Factorization of 2919


3 2919
7 973
139 139
1

Prime factors of 2919 are 3, 7,139. Prime factorization of 2919 in exponential form is:

2919 = 31×71×1391

Prime Factorization of 2925


3 2925
3 975
5 325
5 65
13 13
1

Prime factors of 2925 are 3, 5,13. Prime factorization of 2925 in exponential form is:

2925 = 32×52×131

Now multiplying the highest exponent prime factors to calculate the LCM of 2919 and 2925.

LCM(2919,2925) = 32×52×71×131×1391
LCM(2919,2925) = 2846025

Factors of 2919

List of positive integer factors of 2919 that divides 2919 without a remainder.

1, 3, 7, 21, 139, 417, 973, 2919

Factors of 2925

List of positive integer factors of 2925 that divides 2925 without a remainder.

1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 195, 225, 325, 585, 975, 2925

Least Common Multiple of 2919 and 2925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2919 and 2925, than apply into the LCM equation.

GCF(2919,2925) = 3
LCM(2919,2925) = ( 2919 × 2925) / 3
LCM(2919,2925) = 8538075 / 3
LCM(2919,2925) = 2846025

Properties of LCM 2919 and 2925

(i) The LCM of 2925 and 2919 is associative

LCM of 2919 and 2925 = LCM of 2925 and 2919

Related Least Common Multiples of 2919

Related Least Common Multiples of 2925

Frequently Asked Questions on LCM of 2919 and 2925

1. What is the LCM of 2919 and 2925?

Answer: LCM of 2919 and 2925 is 2846025.

2. What are the Factors of 2919?

Answer: Factors of 2919 are 1, 3, 7, 21, 139, 417, 973, 2919. There are 8 integers that are factors of 2919. The greatest factor of 2919 is 2919.

3. What are the Factors of 2925?

Answer: Factors of 2925 are 1, 3, 5, 9, 13, 15, 25, 39, 45, 65, 75, 117, 195, 225, 325, 585, 975, 2925. There are 18 integers that are factors of 2925. The greatest factor of 2925 is 2925.

4. How to Find the LCM of 2919 and 2925?

Answer:

Least Common Multiple of 2919 and 2925 = 2846025

Step 1: Find the prime factorization of 2919

2919 = 3 x 7 x 139

Step 2: Find the prime factorization of 2925

2925 = 3 x 3 x 5 x 5 x 13

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

LCM = 2846025 = 3 x 3 x 5 x 5 x 7 x 13 x 139

Step 4: Therefore, the least common multiple of 2919 and 2925 is 2846025.