Least Common Multiple of 7617 and 7625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7617 and 7625 the smallest integer that is 58079625 that is divisible by both numbers.

Least Common Multiple (LCM) of 7617 and 7625 is 58079625.

LCM(7617,7625) = 58079625

LCM of 7617 and 7625

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

LCM of:
and

Least Common Multiple of 7617 and 7625

LCM of 7617 and 7625 is 58079625

Least common multiple can be found by multiplying the highest exponent prime factors of 7617 and 7625. First we will calculate the prime factors of 7617 and 7625.

Prime Factorization of 7617


3 7617
2539 2539
1

Prime factors of 7617 are 3,2539. Prime factorization of 7617 in exponential form is:

7617 = 31×25391

Prime Factorization of 7625


5 7625
5 1525
5 305
61 61
1

Prime factors of 7625 are 5,61. Prime factorization of 7625 in exponential form is:

7625 = 53×611

Now multiplying the highest exponent prime factors to calculate the LCM of 7617 and 7625.

LCM(7617,7625) = 31×53×611×25391
LCM(7617,7625) = 58079625

Factors of 7617

List of positive integer factors of 7617 that divides 7617 without a remainder.

1, 3, 2539, 7617

Factors of 7625

List of positive integer factors of 7625 that divides 7625 without a remainder.

1, 5, 25, 61, 125, 305, 1525, 7625

Least Common Multiple of 7617 and 7625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7617 and 7625, than apply into the LCM equation.

GCF(7617,7625) = 1
LCM(7617,7625) = ( 7617 × 7625) / 1
LCM(7617,7625) = 58079625 / 1
LCM(7617,7625) = 58079625

Properties of LCM 7617 and 7625

(i) The LCM of 7625 and 7617 is associative

LCM of 7617 and 7625 = LCM of 7625 and 7617

Related Least Common Multiples of 7617

Related Least Common Multiples of 7625

Frequently Asked Questions on LCM of 7617 and 7625

1. What is the LCM of 7617 and 7625?

Answer: LCM of 7617 and 7625 is 58079625.

2. What are the Factors of 7617?

Answer: Factors of 7617 are 1, 3, 2539, 7617. There are 4 integers that are factors of 7617. The greatest factor of 7617 is 7617.

3. What are the Factors of 7625?

Answer: Factors of 7625 are 1, 5, 25, 61, 125, 305, 1525, 7625. There are 8 integers that are factors of 7625. The greatest factor of 7625 is 7625.

4. How to Find the LCM of 7617 and 7625?

Answer:

Least Common Multiple of 7617 and 7625 = 58079625

Step 1: Find the prime factorization of 7617

7617 = 3 x 2539

Step 2: Find the prime factorization of 7625

7625 = 5 x 5 x 5 x 61

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

LCM = 58079625 = 3 x 5 x 5 x 5 x 61 x 2539

Step 4: Therefore, the least common multiple of 7617 and 7625 is 58079625.