Least Common Multiple of 2925 and 2930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2925 and 2930 the smallest integer that is 1714050 that is divisible by both numbers.

Least Common Multiple (LCM) of 2925 and 2930 is 1714050.

LCM(2925,2930) = 1714050

LCM of 2925 and 2930

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

LCM of:
and

Least Common Multiple of 2925 and 2930

LCM of 2925 and 2930 is 1714050

Least common multiple can be found by multiplying the highest exponent prime factors of 2925 and 2930. First we will calculate the prime factors of 2925 and 2930.

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

Prime Factorization of 2930


2 2930
5 1465
293 293
1

Prime factors of 2930 are 2, 5,293. Prime factorization of 2930 in exponential form is:

2930 = 21×51×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 2925 and 2930.

LCM(2925,2930) = 21×32×52×131×2931
LCM(2925,2930) = 1714050

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

Factors of 2930

List of positive integer factors of 2930 that divides 2930 without a remainder.

1, 2, 5, 10, 293, 586, 1465, 2930

Least Common Multiple of 2925 and 2930 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2925 and 2930, than apply into the LCM equation.

GCF(2925,2930) = 5
LCM(2925,2930) = ( 2925 × 2930) / 5
LCM(2925,2930) = 8570250 / 5
LCM(2925,2930) = 1714050

Properties of LCM 2925 and 2930

(i) The LCM of 2930 and 2925 is associative

LCM of 2925 and 2930 = LCM of 2930 and 2925

Related Least Common Multiples of 2925

Related Least Common Multiples of 2930

Frequently Asked Questions on LCM of 2925 and 2930

1. What is the LCM of 2925 and 2930?

Answer: LCM of 2925 and 2930 is 1714050.

2. 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.

3. What are the Factors of 2930?

Answer: Factors of 2930 are 1, 2, 5, 10, 293, 586, 1465, 2930. There are 8 integers that are factors of 2930. The greatest factor of 2930 is 2930.

4. How to Find the LCM of 2925 and 2930?

Answer:

Least Common Multiple of 2925 and 2930 = 1714050

Step 1: Find the prime factorization of 2925

2925 = 3 x 3 x 5 x 5 x 13

Step 2: Find the prime factorization of 2930

2930 = 2 x 5 x 293

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

LCM = 1714050 = 2 x 3 x 3 x 5 x 5 x 13 x 293

Step 4: Therefore, the least common multiple of 2925 and 2930 is 1714050.