Least Common Multiple of 7632 and 7637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7632 and 7637 the smallest integer that is 58285584 that is divisible by both numbers.

Least Common Multiple (LCM) of 7632 and 7637 is 58285584.

LCM(7632,7637) = 58285584

LCM of 7632 and 7637

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

LCM of:
and

Least Common Multiple of 7632 and 7637

LCM of 7632 and 7637 is 58285584

Least common multiple can be found by multiplying the highest exponent prime factors of 7632 and 7637. First we will calculate the prime factors of 7632 and 7637.

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

Prime Factorization of 7637


7 7637
1091 1091
1

Prime factors of 7637 are 7,1091. Prime factorization of 7637 in exponential form is:

7637 = 71×10911

Now multiplying the highest exponent prime factors to calculate the LCM of 7632 and 7637.

LCM(7632,7637) = 24×32×71×531×10911
LCM(7632,7637) = 58285584

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

Factors of 7637

List of positive integer factors of 7637 that divides 7637 without a remainder.

1, 7, 1091, 7637

Least Common Multiple of 7632 and 7637 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7632 and 7637, than apply into the LCM equation.

GCF(7632,7637) = 1
LCM(7632,7637) = ( 7632 × 7637) / 1
LCM(7632,7637) = 58285584 / 1
LCM(7632,7637) = 58285584

Properties of LCM 7632 and 7637

(i) The LCM of 7637 and 7632 is associative

LCM of 7632 and 7637 = LCM of 7637 and 7632

Related Least Common Multiples of 7632

Related Least Common Multiples of 7637

Frequently Asked Questions on LCM of 7632 and 7637

1. What is the LCM of 7632 and 7637?

Answer: LCM of 7632 and 7637 is 58285584.

2. 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.

3. What are the Factors of 7637?

Answer: Factors of 7637 are 1, 7, 1091, 7637. There are 4 integers that are factors of 7637. The greatest factor of 7637 is 7637.

4. How to Find the LCM of 7632 and 7637?

Answer:

Least Common Multiple of 7632 and 7637 = 58285584

Step 1: Find the prime factorization of 7632

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

Step 2: Find the prime factorization of 7637

7637 = 7 x 1091

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

LCM = 58285584 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 53 x 1091

Step 4: Therefore, the least common multiple of 7632 and 7637 is 58285584.