Least Common Multiple of 2643 and 2651

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2643 and 2651 the smallest integer that is 7006593 that is divisible by both numbers.

Least Common Multiple (LCM) of 2643 and 2651 is 7006593.

LCM(2643,2651) = 7006593

LCM of 2643 and 2651

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

LCM of:
and

Least Common Multiple of 2643 and 2651

LCM of 2643 and 2651 is 7006593

Least common multiple can be found by multiplying the highest exponent prime factors of 2643 and 2651. First we will calculate the prime factors of 2643 and 2651.

Prime Factorization of 2643


3 2643
881 881
1

Prime factors of 2643 are 3,881. Prime factorization of 2643 in exponential form is:

2643 = 31×8811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 2643 and 2651.

LCM(2643,2651) = 31×111×2411×8811
LCM(2643,2651) = 7006593

Factors of 2643

List of positive integer factors of 2643 that divides 2643 without a remainder.

1, 3, 881, 2643

Factors of 2651

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

1, 11, 241, 2651

Least Common Multiple of 2643 and 2651 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2643 and 2651, than apply into the LCM equation.

GCF(2643,2651) = 1
LCM(2643,2651) = ( 2643 × 2651) / 1
LCM(2643,2651) = 7006593 / 1
LCM(2643,2651) = 7006593

Properties of LCM 2643 and 2651

(i) The LCM of 2651 and 2643 is associative

LCM of 2643 and 2651 = LCM of 2651 and 2643

Related Least Common Multiples of 2643

Related Least Common Multiples of 2651

Frequently Asked Questions on LCM of 2643 and 2651

1. What is the LCM of 2643 and 2651?

Answer: LCM of 2643 and 2651 is 7006593.

2. What are the Factors of 2643?

Answer: Factors of 2643 are 1, 3, 881, 2643. There are 4 integers that are factors of 2643. The greatest factor of 2643 is 2643.

3. 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.

4. How to Find the LCM of 2643 and 2651?

Answer:

Least Common Multiple of 2643 and 2651 = 7006593

Step 1: Find the prime factorization of 2643

2643 = 3 x 881

Step 2: Find the prime factorization of 2651

2651 = 11 x 241

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

LCM = 7006593 = 3 x 11 x 241 x 881

Step 4: Therefore, the least common multiple of 2643 and 2651 is 7006593.