Least Common Multiple of 7626 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 7626 and 7630 the smallest integer that is 29093190 that is divisible by both numbers.

Least Common Multiple (LCM) of 7626 and 7630 is 29093190.

LCM(7626,7630) = 29093190

LCM of 7626 and 7630

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

LCM of:
and

Least Common Multiple of 7626 and 7630

LCM of 7626 and 7630 is 29093190

Least common multiple can be found by multiplying the highest exponent prime factors of 7626 and 7630. First we will calculate the prime factors of 7626 and 7630.

Prime Factorization of 7626


2 7626
3 3813
31 1271
41 41
1

Prime factors of 7626 are 2, 3, 31,41. Prime factorization of 7626 in exponential form is:

7626 = 21×31×311×411

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 7626 and 7630.

LCM(7626,7630) = 21×31×51×71×311×411×1091
LCM(7626,7630) = 29093190

Factors of 7626

List of positive integer factors of 7626 that divides 7626 without a remainder.

1, 2, 3, 6, 31, 41, 62, 82, 93, 123, 186, 246, 1271, 2542, 3813, 7626

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 7626 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 7626 and 7630, than apply into the LCM equation.

GCF(7626,7630) = 2
LCM(7626,7630) = ( 7626 × 7630) / 2
LCM(7626,7630) = 58186380 / 2
LCM(7626,7630) = 29093190

Properties of LCM 7626 and 7630

(i) The LCM of 7630 and 7626 is associative

LCM of 7626 and 7630 = LCM of 7630 and 7626

Related Least Common Multiples of 7626

Related Least Common Multiples of 7630

Frequently Asked Questions on LCM of 7626 and 7630

1. What is the LCM of 7626 and 7630?

Answer: LCM of 7626 and 7630 is 29093190.

2. What are the Factors of 7626?

Answer: Factors of 7626 are 1, 2, 3, 6, 31, 41, 62, 82, 93, 123, 186, 246, 1271, 2542, 3813, 7626. There are 16 integers that are factors of 7626. The greatest factor of 7626 is 7626.

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 7626 and 7630?

Answer:

Least Common Multiple of 7626 and 7630 = 29093190

Step 1: Find the prime factorization of 7626

7626 = 2 x 3 x 31 x 41

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 = 29093190 = 2 x 3 x 5 x 7 x 31 x 41 x 109

Step 4: Therefore, the least common multiple of 7626 and 7630 is 29093190.