Least Common Multiple of 2651 and 2652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2651 and 2652 the smallest integer that is 7030452 that is divisible by both numbers.

Least Common Multiple (LCM) of 2651 and 2652 is 7030452.

LCM(2651,2652) = 7030452

LCM of 2651 and 2652

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

LCM of:
and

Least Common Multiple of 2651 and 2652

LCM of 2651 and 2652 is 7030452

Least common multiple can be found by multiplying the highest exponent prime factors of 2651 and 2652. First we will calculate the prime factors of 2651 and 2652.

Prime Factorization of 2651


11 2651
241 241
1

Prime factors of 2651 are 11,241. Prime factorization of 2651 in exponential form is:

2651 = 111×2411

Prime Factorization of 2652


2 2652
2 1326
3 663
13 221
17 17
1

Prime factors of 2652 are 2, 3, 13,17. Prime factorization of 2652 in exponential form is:

2652 = 22×31×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2651 and 2652.

LCM(2651,2652) = 22×31×111×131×171×2411
LCM(2651,2652) = 7030452

Factors of 2651

List of positive integer factors of 2651 that divides 2651 without a remainder.

1, 11, 241, 2651

Factors of 2652

List of positive integer factors of 2652 that divides 2652 without a remainder.

1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326, 2652

Least Common Multiple of 2651 and 2652 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2651 and 2652, than apply into the LCM equation.

GCF(2651,2652) = 1
LCM(2651,2652) = ( 2651 × 2652) / 1
LCM(2651,2652) = 7030452 / 1
LCM(2651,2652) = 7030452

Properties of LCM 2651 and 2652

(i) The LCM of 2652 and 2651 is associative

LCM of 2651 and 2652 = LCM of 2652 and 2651

Related Least Common Multiples of 2651

Related Least Common Multiples of 2652

Frequently Asked Questions on LCM of 2651 and 2652

1. What is the LCM of 2651 and 2652?

Answer: LCM of 2651 and 2652 is 7030452.

2. What are the Factors of 2651?

Answer: Factors of 2651 are 1, 11, 241, 2651. There are 4 integers that are factors of 2651. The greatest factor of 2651 is 2651.

3. What are the Factors of 2652?

Answer: Factors of 2652 are 1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326, 2652. There are 24 integers that are factors of 2652. The greatest factor of 2652 is 2652.

4. How to Find the LCM of 2651 and 2652?

Answer:

Least Common Multiple of 2651 and 2652 = 7030452

Step 1: Find the prime factorization of 2651

2651 = 11 x 241

Step 2: Find the prime factorization of 2652

2652 = 2 x 2 x 3 x 13 x 17

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

LCM = 7030452 = 2 x 2 x 3 x 11 x 13 x 17 x 241

Step 4: Therefore, the least common multiple of 2651 and 2652 is 7030452.