Least Common Multiple of 7627 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 7627 and 7632 the smallest integer that is 58209264 that is divisible by both numbers.

Least Common Multiple (LCM) of 7627 and 7632 is 58209264.

LCM(7627,7632) = 58209264

LCM of 7627 and 7632

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

LCM of:
and

Least Common Multiple of 7627 and 7632

LCM of 7627 and 7632 is 58209264

Least common multiple can be found by multiplying the highest exponent prime factors of 7627 and 7632. First we will calculate the prime factors of 7627 and 7632.

Prime Factorization of 7627


29 7627
263 263
1

Prime factors of 7627 are 29,263. Prime factorization of 7627 in exponential form is:

7627 = 291×2631

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 7627 and 7632.

LCM(7627,7632) = 24×32×291×531×2631
LCM(7627,7632) = 58209264

Factors of 7627

List of positive integer factors of 7627 that divides 7627 without a remainder.

1, 29, 263, 7627

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 7627 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 7627 and 7632, than apply into the LCM equation.

GCF(7627,7632) = 1
LCM(7627,7632) = ( 7627 × 7632) / 1
LCM(7627,7632) = 58209264 / 1
LCM(7627,7632) = 58209264

Properties of LCM 7627 and 7632

(i) The LCM of 7632 and 7627 is associative

LCM of 7627 and 7632 = LCM of 7632 and 7627

Related Least Common Multiples of 7627

Related Least Common Multiples of 7632

Frequently Asked Questions on LCM of 7627 and 7632

1. What is the LCM of 7627 and 7632?

Answer: LCM of 7627 and 7632 is 58209264.

2. What are the Factors of 7627?

Answer: Factors of 7627 are 1, 29, 263, 7627. There are 4 integers that are factors of 7627. The greatest factor of 7627 is 7627.

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 7627 and 7632?

Answer:

Least Common Multiple of 7627 and 7632 = 58209264

Step 1: Find the prime factorization of 7627

7627 = 29 x 263

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 = 58209264 = 2 x 2 x 2 x 2 x 3 x 3 x 29 x 53 x 263

Step 4: Therefore, the least common multiple of 7627 and 7632 is 58209264.