Least Common Multiple of 7623 and 7630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7623 and 7630 the smallest integer that is 8309070 that is divisible by both numbers.

Least Common Multiple (LCM) of 7623 and 7630 is 8309070.

LCM(7623,7630) = 8309070

LCM of 7623 and 7630

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

LCM of:
and

Least Common Multiple of 7623 and 7630

LCM of 7623 and 7630 is 8309070

Least common multiple can be found by multiplying the highest exponent prime factors of 7623 and 7630. First we will calculate the prime factors of 7623 and 7630.

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

Prime Factorization of 7630


2 7630
5 3815
7 763
109 109
1

Prime factors of 7630 are 2, 5, 7,109. Prime factorization of 7630 in exponential form is:

7630 = 21×51×71×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 7623 and 7630.

LCM(7623,7630) = 21×32×51×71×112×1091
LCM(7623,7630) = 8309070

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

Factors of 7630

List of positive integer factors of 7630 that divides 7630 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 109, 218, 545, 763, 1090, 1526, 3815, 7630

Least Common Multiple of 7623 and 7630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7623 and 7630, than apply into the LCM equation.

GCF(7623,7630) = 7
LCM(7623,7630) = ( 7623 × 7630) / 7
LCM(7623,7630) = 58163490 / 7
LCM(7623,7630) = 8309070

Properties of LCM 7623 and 7630

(i) The LCM of 7630 and 7623 is associative

LCM of 7623 and 7630 = LCM of 7630 and 7623

Related Least Common Multiples of 7623

Related Least Common Multiples of 7630

Frequently Asked Questions on LCM of 7623 and 7630

1. What is the LCM of 7623 and 7630?

Answer: LCM of 7623 and 7630 is 8309070.

2. 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.

3. What are the Factors of 7630?

Answer: Factors of 7630 are 1, 2, 5, 7, 10, 14, 35, 70, 109, 218, 545, 763, 1090, 1526, 3815, 7630. There are 16 integers that are factors of 7630. The greatest factor of 7630 is 7630.

4. How to Find the LCM of 7623 and 7630?

Answer:

Least Common Multiple of 7623 and 7630 = 8309070

Step 1: Find the prime factorization of 7623

7623 = 3 x 3 x 7 x 11 x 11

Step 2: Find the prime factorization of 7630

7630 = 2 x 5 x 7 x 109

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

LCM = 8309070 = 2 x 3 x 3 x 5 x 7 x 11 x 11 x 109

Step 4: Therefore, the least common multiple of 7623 and 7630 is 8309070.