Least Common Multiple of 2620 and 2627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2620 and 2627 the smallest integer that is 6882740 that is divisible by both numbers.

Least Common Multiple (LCM) of 2620 and 2627 is 6882740.

LCM(2620,2627) = 6882740

LCM of 2620 and 2627

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

LCM of:
and

Least Common Multiple of 2620 and 2627

LCM of 2620 and 2627 is 6882740

Least common multiple can be found by multiplying the highest exponent prime factors of 2620 and 2627. First we will calculate the prime factors of 2620 and 2627.

Prime Factorization of 2620


2 2620
2 1310
5 655
131 131
1

Prime factors of 2620 are 2, 5,131. Prime factorization of 2620 in exponential form is:

2620 = 22×51×1311

Prime Factorization of 2627


37 2627
71 71
1

Prime factors of 2627 are 37,71. Prime factorization of 2627 in exponential form is:

2627 = 371×711

Now multiplying the highest exponent prime factors to calculate the LCM of 2620 and 2627.

LCM(2620,2627) = 22×51×371×711×1311
LCM(2620,2627) = 6882740

Factors of 2620

List of positive integer factors of 2620 that divides 2620 without a remainder.

1, 2, 4, 5, 10, 20, 131, 262, 524, 655, 1310, 2620

Factors of 2627

List of positive integer factors of 2627 that divides 2627 without a remainder.

1, 37, 71, 2627

Least Common Multiple of 2620 and 2627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2620 and 2627, than apply into the LCM equation.

GCF(2620,2627) = 1
LCM(2620,2627) = ( 2620 × 2627) / 1
LCM(2620,2627) = 6882740 / 1
LCM(2620,2627) = 6882740

Properties of LCM 2620 and 2627

(i) The LCM of 2627 and 2620 is associative

LCM of 2620 and 2627 = LCM of 2627 and 2620

Related Least Common Multiples of 2620

Related Least Common Multiples of 2627

Frequently Asked Questions on LCM of 2620 and 2627

1. What is the LCM of 2620 and 2627?

Answer: LCM of 2620 and 2627 is 6882740.

2. What are the Factors of 2620?

Answer: Factors of 2620 are 1, 2, 4, 5, 10, 20, 131, 262, 524, 655, 1310, 2620. There are 12 integers that are factors of 2620. The greatest factor of 2620 is 2620.

3. What are the Factors of 2627?

Answer: Factors of 2627 are 1, 37, 71, 2627. There are 4 integers that are factors of 2627. The greatest factor of 2627 is 2627.

4. How to Find the LCM of 2620 and 2627?

Answer:

Least Common Multiple of 2620 and 2627 = 6882740

Step 1: Find the prime factorization of 2620

2620 = 2 x 2 x 5 x 131

Step 2: Find the prime factorization of 2627

2627 = 37 x 71

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

LCM = 6882740 = 2 x 2 x 5 x 37 x 71 x 131

Step 4: Therefore, the least common multiple of 2620 and 2627 is 6882740.