Least Common Multiple of 2921 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 2921 and 2925 the smallest integer that is 8543925 that is divisible by both numbers.

Least Common Multiple (LCM) of 2921 and 2925 is 8543925.

LCM(2921,2925) = 8543925

LCM of 2921 and 2925

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

LCM of:
and

Least Common Multiple of 2921 and 2925

LCM of 2921 and 2925 is 8543925

Least common multiple can be found by multiplying the highest exponent prime factors of 2921 and 2925. First we will calculate the prime factors of 2921 and 2925.

Prime Factorization of 2921


23 2921
127 127
1

Prime factors of 2921 are 23,127. Prime factorization of 2921 in exponential form is:

2921 = 231×1271

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 2921 and 2925.

LCM(2921,2925) = 32×52×131×231×1271
LCM(2921,2925) = 8543925

Factors of 2921

List of positive integer factors of 2921 that divides 2921 without a remainder.

1, 23, 127, 2921

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 2921 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 2921 and 2925, than apply into the LCM equation.

GCF(2921,2925) = 1
LCM(2921,2925) = ( 2921 × 2925) / 1
LCM(2921,2925) = 8543925 / 1
LCM(2921,2925) = 8543925

Properties of LCM 2921 and 2925

(i) The LCM of 2925 and 2921 is associative

LCM of 2921 and 2925 = LCM of 2925 and 2921

Related Least Common Multiples of 2921

Related Least Common Multiples of 2925

Frequently Asked Questions on LCM of 2921 and 2925

1. What is the LCM of 2921 and 2925?

Answer: LCM of 2921 and 2925 is 8543925.

2. What are the Factors of 2921?

Answer: Factors of 2921 are 1, 23, 127, 2921. There are 4 integers that are factors of 2921. The greatest factor of 2921 is 2921.

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 2921 and 2925?

Answer:

Least Common Multiple of 2921 and 2925 = 8543925

Step 1: Find the prime factorization of 2921

2921 = 23 x 127

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 = 8543925 = 3 x 3 x 5 x 5 x 13 x 23 x 127

Step 4: Therefore, the least common multiple of 2921 and 2925 is 8543925.