Least Common Multiple of 2617 and 2625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2617 and 2625 the smallest integer that is 6869625 that is divisible by both numbers.

Least Common Multiple (LCM) of 2617 and 2625 is 6869625.

LCM(2617,2625) = 6869625

LCM of 2617 and 2625

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

LCM of:
and

Least Common Multiple of 2617 and 2625

LCM of 2617 and 2625 is 6869625

Least common multiple can be found by multiplying the highest exponent prime factors of 2617 and 2625. First we will calculate the prime factors of 2617 and 2625.

Prime Factorization of 2617


2617 2617
1

Prime factors of 2617 are 2617. Prime factorization of 2617 in exponential form is:

2617 = 26171

Prime Factorization of 2625


3 2625
5 875
5 175
5 35
7 7
1

Prime factors of 2625 are 3, 5,7. Prime factorization of 2625 in exponential form is:

2625 = 31×53×71

Now multiplying the highest exponent prime factors to calculate the LCM of 2617 and 2625.

LCM(2617,2625) = 31×53×71×26171
LCM(2617,2625) = 6869625

Factors of 2617

List of positive integer factors of 2617 that divides 2617 without a remainder.

1, 2617

Factors of 2625

List of positive integer factors of 2625 that divides 2625 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625

Least Common Multiple of 2617 and 2625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2617 and 2625, than apply into the LCM equation.

GCF(2617,2625) = 1
LCM(2617,2625) = ( 2617 × 2625) / 1
LCM(2617,2625) = 6869625 / 1
LCM(2617,2625) = 6869625

Properties of LCM 2617 and 2625

(i) The LCM of 2625 and 2617 is associative

LCM of 2617 and 2625 = LCM of 2625 and 2617

Related Least Common Multiples of 2617

Related Least Common Multiples of 2625

Frequently Asked Questions on LCM of 2617 and 2625

1. What is the LCM of 2617 and 2625?

Answer: LCM of 2617 and 2625 is 6869625.

2. What are the Factors of 2617?

Answer: Factors of 2617 are 1, 2617. There are 2 integers that are factors of 2617. The greatest factor of 2617 is 2617.

3. What are the Factors of 2625?

Answer: Factors of 2625 are 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 125, 175, 375, 525, 875, 2625. There are 16 integers that are factors of 2625. The greatest factor of 2625 is 2625.

4. How to Find the LCM of 2617 and 2625?

Answer:

Least Common Multiple of 2617 and 2625 = 6869625

Step 1: Find the prime factorization of 2617

2617 = 2617

Step 2: Find the prime factorization of 2625

2625 = 3 x 5 x 5 x 5 x 7

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

LCM = 6869625 = 3 x 5 x 5 x 5 x 7 x 2617

Step 4: Therefore, the least common multiple of 2617 and 2625 is 6869625.