Least Common Multiple of 7626 and 7632

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 7632 the smallest integer that is 9700272 that is divisible by both numbers.

Least Common Multiple (LCM) of 7626 and 7632 is 9700272.

LCM(7626,7632) = 9700272

LCM of 7626 and 7632

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

LCM of:
and

Least Common Multiple of 7626 and 7632

LCM of 7626 and 7632 is 9700272

Least common multiple can be found by multiplying the highest exponent prime factors of 7626 and 7632. First we will calculate the prime factors of 7626 and 7632.

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 7632


2 7632
2 3816
2 1908
2 954
3 477
3 159
53 53
1

Prime factors of 7632 are 2, 3,53. Prime factorization of 7632 in exponential form is:

7632 = 24×32×531

Now multiplying the highest exponent prime factors to calculate the LCM of 7626 and 7632.

LCM(7626,7632) = 24×32×311×411×531
LCM(7626,7632) = 9700272

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 7632

List of positive integer factors of 7632 that divides 7632 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 53, 72, 106, 144, 159, 212, 318, 424, 477, 636, 848, 954, 1272, 1908, 2544, 3816, 7632

Least Common Multiple of 7626 and 7632 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 7632, than apply into the LCM equation.

GCF(7626,7632) = 6
LCM(7626,7632) = ( 7626 × 7632) / 6
LCM(7626,7632) = 58201632 / 6
LCM(7626,7632) = 9700272

Properties of LCM 7626 and 7632

(i) The LCM of 7632 and 7626 is associative

LCM of 7626 and 7632 = LCM of 7632 and 7626

Related Least Common Multiples of 7626

Related Least Common Multiples of 7632

Frequently Asked Questions on LCM of 7626 and 7632

1. What is the LCM of 7626 and 7632?

Answer: LCM of 7626 and 7632 is 9700272.

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 7632?

Answer: Factors of 7632 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 53, 72, 106, 144, 159, 212, 318, 424, 477, 636, 848, 954, 1272, 1908, 2544, 3816, 7632. There are 30 integers that are factors of 7632. The greatest factor of 7632 is 7632.

4. How to Find the LCM of 7626 and 7632?

Answer:

Least Common Multiple of 7626 and 7632 = 9700272

Step 1: Find the prime factorization of 7626

7626 = 2 x 3 x 31 x 41

Step 2: Find the prime factorization of 7632

7632 = 2 x 2 x 2 x 2 x 3 x 3 x 53

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

LCM = 9700272 = 2 x 2 x 2 x 2 x 3 x 3 x 31 x 41 x 53

Step 4: Therefore, the least common multiple of 7626 and 7632 is 9700272.