Least Common Multiple of 7617 and 7623

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 7623 the smallest integer that is 19354797 that is divisible by both numbers.

Least Common Multiple (LCM) of 7617 and 7623 is 19354797.

LCM(7617,7623) = 19354797

LCM of 7617 and 7623

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

LCM of:
and

Least Common Multiple of 7617 and 7623

LCM of 7617 and 7623 is 19354797

Least common multiple can be found by multiplying the highest exponent prime factors of 7617 and 7623. First we will calculate the prime factors of 7617 and 7623.

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 7623


3 7623
3 2541
7 847
11 121
11 11
1

Prime factors of 7623 are 3, 7,11. Prime factorization of 7623 in exponential form is:

7623 = 32×71×112

Now multiplying the highest exponent prime factors to calculate the LCM of 7617 and 7623.

LCM(7617,7623) = 32×71×112×25391
LCM(7617,7623) = 19354797

Factors of 7617

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

1, 3, 2539, 7617

Factors of 7623

List of positive integer factors of 7623 that divides 7623 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541, 7623

Least Common Multiple of 7617 and 7623 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 7623, than apply into the LCM equation.

GCF(7617,7623) = 3
LCM(7617,7623) = ( 7617 × 7623) / 3
LCM(7617,7623) = 58064391 / 3
LCM(7617,7623) = 19354797

Properties of LCM 7617 and 7623

(i) The LCM of 7623 and 7617 is associative

LCM of 7617 and 7623 = LCM of 7623 and 7617

Frequently Asked Questions on LCM of 7617 and 7623

1. What is the LCM of 7617 and 7623?

Answer: LCM of 7617 and 7623 is 19354797.

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 7623?

Answer: Factors of 7623 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 121, 231, 363, 693, 847, 1089, 2541, 7623. There are 18 integers that are factors of 7623. The greatest factor of 7623 is 7623.

4. How to Find the LCM of 7617 and 7623?

Answer:

Least Common Multiple of 7617 and 7623 = 19354797

Step 1: Find the prime factorization of 7617

7617 = 3 x 2539

Step 2: Find the prime factorization of 7623

7623 = 3 x 3 x 7 x 11 x 11

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

LCM = 19354797 = 3 x 3 x 7 x 11 x 11 x 2539

Step 4: Therefore, the least common multiple of 7617 and 7623 is 19354797.