Least Common Multiple of 2657 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 2657 and 2660 the smallest integer that is 7067620 that is divisible by both numbers.

Least Common Multiple (LCM) of 2657 and 2660 is 7067620.

LCM(2657,2660) = 7067620

LCM of 2657 and 2660

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

LCM of:
and

Least Common Multiple of 2657 and 2660

LCM of 2657 and 2660 is 7067620

Least common multiple can be found by multiplying the highest exponent prime factors of 2657 and 2660. First we will calculate the prime factors of 2657 and 2660.

Prime Factorization of 2657


2657 2657
1

Prime factors of 2657 are 2657. Prime factorization of 2657 in exponential form is:

2657 = 26571

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 2657 and 2660.

LCM(2657,2660) = 22×51×71×191×26571
LCM(2657,2660) = 7067620

Factors of 2657

List of positive integer factors of 2657 that divides 2657 without a remainder.

1, 2657

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 2657 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 2657 and 2660, than apply into the LCM equation.

GCF(2657,2660) = 1
LCM(2657,2660) = ( 2657 × 2660) / 1
LCM(2657,2660) = 7067620 / 1
LCM(2657,2660) = 7067620

Properties of LCM 2657 and 2660

(i) The LCM of 2660 and 2657 is associative

LCM of 2657 and 2660 = LCM of 2660 and 2657

Related Least Common Multiples of 2657

Related Least Common Multiples of 2660

Frequently Asked Questions on LCM of 2657 and 2660

1. What is the LCM of 2657 and 2660?

Answer: LCM of 2657 and 2660 is 7067620.

2. What are the Factors of 2657?

Answer: Factors of 2657 are 1, 2657. There are 2 integers that are factors of 2657. The greatest factor of 2657 is 2657.

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 2657 and 2660?

Answer:

Least Common Multiple of 2657 and 2660 = 7067620

Step 1: Find the prime factorization of 2657

2657 = 2657

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 = 7067620 = 2 x 2 x 5 x 7 x 19 x 2657

Step 4: Therefore, the least common multiple of 2657 and 2660 is 7067620.