Least Common Multiple of 2653 and 2661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2653 and 2661 the smallest integer that is 7059633 that is divisible by both numbers.

Least Common Multiple (LCM) of 2653 and 2661 is 7059633.

LCM(2653,2661) = 7059633

LCM of 2653 and 2661

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

LCM of:
and

Least Common Multiple of 2653 and 2661

LCM of 2653 and 2661 is 7059633

Least common multiple can be found by multiplying the highest exponent prime factors of 2653 and 2661. First we will calculate the prime factors of 2653 and 2661.

Prime Factorization of 2653


7 2653
379 379
1

Prime factors of 2653 are 7,379. Prime factorization of 2653 in exponential form is:

2653 = 71×3791

Prime Factorization of 2661


3 2661
887 887
1

Prime factors of 2661 are 3,887. Prime factorization of 2661 in exponential form is:

2661 = 31×8871

Now multiplying the highest exponent prime factors to calculate the LCM of 2653 and 2661.

LCM(2653,2661) = 31×71×3791×8871
LCM(2653,2661) = 7059633

Factors of 2653

List of positive integer factors of 2653 that divides 2653 without a remainder.

1, 7, 379, 2653

Factors of 2661

List of positive integer factors of 2661 that divides 2661 without a remainder.

1, 3, 887, 2661

Least Common Multiple of 2653 and 2661 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2653 and 2661, than apply into the LCM equation.

GCF(2653,2661) = 1
LCM(2653,2661) = ( 2653 × 2661) / 1
LCM(2653,2661) = 7059633 / 1
LCM(2653,2661) = 7059633

Properties of LCM 2653 and 2661

(i) The LCM of 2661 and 2653 is associative

LCM of 2653 and 2661 = LCM of 2661 and 2653

Related Least Common Multiples of 2653

Related Least Common Multiples of 2661

Frequently Asked Questions on LCM of 2653 and 2661

1. What is the LCM of 2653 and 2661?

Answer: LCM of 2653 and 2661 is 7059633.

2. What are the Factors of 2653?

Answer: Factors of 2653 are 1, 7, 379, 2653. There are 4 integers that are factors of 2653. The greatest factor of 2653 is 2653.

3. What are the Factors of 2661?

Answer: Factors of 2661 are 1, 3, 887, 2661. There are 4 integers that are factors of 2661. The greatest factor of 2661 is 2661.

4. How to Find the LCM of 2653 and 2661?

Answer:

Least Common Multiple of 2653 and 2661 = 7059633

Step 1: Find the prime factorization of 2653

2653 = 7 x 379

Step 2: Find the prime factorization of 2661

2661 = 3 x 887

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

LCM = 7059633 = 3 x 7 x 379 x 887

Step 4: Therefore, the least common multiple of 2653 and 2661 is 7059633.