Least Common Multiple of 2654 and 2660

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2654 and 2660 the smallest integer that is 3529820 that is divisible by both numbers.

Least Common Multiple (LCM) of 2654 and 2660 is 3529820.

LCM(2654,2660) = 3529820

LCM of 2654 and 2660

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

LCM of:
and

Least Common Multiple of 2654 and 2660

LCM of 2654 and 2660 is 3529820

Least common multiple can be found by multiplying the highest exponent prime factors of 2654 and 2660. First we will calculate the prime factors of 2654 and 2660.

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

Prime Factorization of 2660


2 2660
2 1330
5 665
7 133
19 19
1

Prime factors of 2660 are 2, 5, 7,19. Prime factorization of 2660 in exponential form is:

2660 = 22×51×71×191

Now multiplying the highest exponent prime factors to calculate the LCM of 2654 and 2660.

LCM(2654,2660) = 22×51×71×191×13271
LCM(2654,2660) = 3529820

Factors of 2654

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

1, 2, 1327, 2654

Factors of 2660

List of positive integer factors of 2660 that divides 2660 without a remainder.

1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660

Least Common Multiple of 2654 and 2660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2654 and 2660, than apply into the LCM equation.

GCF(2654,2660) = 2
LCM(2654,2660) = ( 2654 × 2660) / 2
LCM(2654,2660) = 7059640 / 2
LCM(2654,2660) = 3529820

Properties of LCM 2654 and 2660

(i) The LCM of 2660 and 2654 is associative

LCM of 2654 and 2660 = LCM of 2660 and 2654

Related Least Common Multiples of 2654

Related Least Common Multiples of 2660

Frequently Asked Questions on LCM of 2654 and 2660

1. What is the LCM of 2654 and 2660?

Answer: LCM of 2654 and 2660 is 3529820.

2. 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.

3. What are the Factors of 2660?

Answer: Factors of 2660 are 1, 2, 4, 5, 7, 10, 14, 19, 20, 28, 35, 38, 70, 76, 95, 133, 140, 190, 266, 380, 532, 665, 1330, 2660. There are 24 integers that are factors of 2660. The greatest factor of 2660 is 2660.

4. How to Find the LCM of 2654 and 2660?

Answer:

Least Common Multiple of 2654 and 2660 = 3529820

Step 1: Find the prime factorization of 2654

2654 = 2 x 1327

Step 2: Find the prime factorization of 2660

2660 = 2 x 2 x 5 x 7 x 19

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

LCM = 3529820 = 2 x 2 x 5 x 7 x 19 x 1327

Step 4: Therefore, the least common multiple of 2654 and 2660 is 3529820.