Least Common Multiple of 2653 and 2654

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 2654 the smallest integer that is 7041062 that is divisible by both numbers.

Least Common Multiple (LCM) of 2653 and 2654 is 7041062.

LCM(2653,2654) = 7041062

LCM of 2653 and 2654

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

LCM of:
and

Least Common Multiple of 2653 and 2654

LCM of 2653 and 2654 is 7041062

Least common multiple can be found by multiplying the highest exponent prime factors of 2653 and 2654. First we will calculate the prime factors of 2653 and 2654.

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 2654


2 2654
1327 1327
1

Prime factors of 2654 are 2,1327. Prime factorization of 2654 in exponential form is:

2654 = 21×13271

Now multiplying the highest exponent prime factors to calculate the LCM of 2653 and 2654.

LCM(2653,2654) = 21×71×3791×13271
LCM(2653,2654) = 7041062

Factors of 2653

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

1, 7, 379, 2653

Factors of 2654

List of positive integer factors of 2654 that divides 2654 without a remainder.

1, 2, 1327, 2654

Least Common Multiple of 2653 and 2654 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 2654, than apply into the LCM equation.

GCF(2653,2654) = 1
LCM(2653,2654) = ( 2653 × 2654) / 1
LCM(2653,2654) = 7041062 / 1
LCM(2653,2654) = 7041062

Properties of LCM 2653 and 2654

(i) The LCM of 2654 and 2653 is associative

LCM of 2653 and 2654 = LCM of 2654 and 2653

Related Least Common Multiples of 2653

Related Least Common Multiples of 2654

Frequently Asked Questions on LCM of 2653 and 2654

1. What is the LCM of 2653 and 2654?

Answer: LCM of 2653 and 2654 is 7041062.

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 2654?

Answer: Factors of 2654 are 1, 2, 1327, 2654. There are 4 integers that are factors of 2654. The greatest factor of 2654 is 2654.

4. How to Find the LCM of 2653 and 2654?

Answer:

Least Common Multiple of 2653 and 2654 = 7041062

Step 1: Find the prime factorization of 2653

2653 = 7 x 379

Step 2: Find the prime factorization of 2654

2654 = 2 x 1327

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

LCM = 7041062 = 2 x 7 x 379 x 1327

Step 4: Therefore, the least common multiple of 2653 and 2654 is 7041062.