Least Common Multiple of 2921 and 2927

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 2927 the smallest integer that is 8549767 that is divisible by both numbers.

Least Common Multiple (LCM) of 2921 and 2927 is 8549767.

LCM(2921,2927) = 8549767

LCM of 2921 and 2927

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

LCM of:
and

Least Common Multiple of 2921 and 2927

LCM of 2921 and 2927 is 8549767

Least common multiple can be found by multiplying the highest exponent prime factors of 2921 and 2927. First we will calculate the prime factors of 2921 and 2927.

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 2927


2927 2927
1

Prime factors of 2927 are 2927. Prime factorization of 2927 in exponential form is:

2927 = 29271

Now multiplying the highest exponent prime factors to calculate the LCM of 2921 and 2927.

LCM(2921,2927) = 231×1271×29271
LCM(2921,2927) = 8549767

Factors of 2921

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

1, 23, 127, 2921

Factors of 2927

List of positive integer factors of 2927 that divides 2927 without a remainder.

1, 2927

Least Common Multiple of 2921 and 2927 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 2927, than apply into the LCM equation.

GCF(2921,2927) = 1
LCM(2921,2927) = ( 2921 × 2927) / 1
LCM(2921,2927) = 8549767 / 1
LCM(2921,2927) = 8549767

Properties of LCM 2921 and 2927

(i) The LCM of 2927 and 2921 is associative

LCM of 2921 and 2927 = LCM of 2927 and 2921

Related Least Common Multiples of 2921

Related Least Common Multiples of 2927

Frequently Asked Questions on LCM of 2921 and 2927

1. What is the LCM of 2921 and 2927?

Answer: LCM of 2921 and 2927 is 8549767.

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 2927?

Answer: Factors of 2927 are 1, 2927. There are 2 integers that are factors of 2927. The greatest factor of 2927 is 2927.

4. How to Find the LCM of 2921 and 2927?

Answer:

Least Common Multiple of 2921 and 2927 = 8549767

Step 1: Find the prime factorization of 2921

2921 = 23 x 127

Step 2: Find the prime factorization of 2927

2927 = 2927

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

LCM = 8549767 = 23 x 127 x 2927

Step 4: Therefore, the least common multiple of 2921 and 2927 is 8549767.