Least Common Multiple of 7632 and 7638

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 7638 the smallest integer that is 9715536 that is divisible by both numbers.

Least Common Multiple (LCM) of 7632 and 7638 is 9715536.

LCM(7632,7638) = 9715536

LCM of 7632 and 7638

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

LCM of:
and

Least Common Multiple of 7632 and 7638

LCM of 7632 and 7638 is 9715536

Least common multiple can be found by multiplying the highest exponent prime factors of 7632 and 7638. First we will calculate the prime factors of 7632 and 7638.

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 7638


2 7638
3 3819
19 1273
67 67
1

Prime factors of 7638 are 2, 3, 19,67. Prime factorization of 7638 in exponential form is:

7638 = 21×31×191×671

Now multiplying the highest exponent prime factors to calculate the LCM of 7632 and 7638.

LCM(7632,7638) = 24×32×191×531×671
LCM(7632,7638) = 9715536

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 7638

List of positive integer factors of 7638 that divides 7638 without a remainder.

1, 2, 3, 6, 19, 38, 57, 67, 114, 134, 201, 402, 1273, 2546, 3819, 7638

Least Common Multiple of 7632 and 7638 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 7638, than apply into the LCM equation.

GCF(7632,7638) = 6
LCM(7632,7638) = ( 7632 × 7638) / 6
LCM(7632,7638) = 58293216 / 6
LCM(7632,7638) = 9715536

Properties of LCM 7632 and 7638

(i) The LCM of 7638 and 7632 is associative

LCM of 7632 and 7638 = LCM of 7638 and 7632

Related Least Common Multiples of 7632

Related Least Common Multiples of 7638

Frequently Asked Questions on LCM of 7632 and 7638

1. What is the LCM of 7632 and 7638?

Answer: LCM of 7632 and 7638 is 9715536.

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 7638?

Answer: Factors of 7638 are 1, 2, 3, 6, 19, 38, 57, 67, 114, 134, 201, 402, 1273, 2546, 3819, 7638. There are 16 integers that are factors of 7638. The greatest factor of 7638 is 7638.

4. How to Find the LCM of 7632 and 7638?

Answer:

Least Common Multiple of 7632 and 7638 = 9715536

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 7638

7638 = 2 x 3 x 19 x 67

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

LCM = 9715536 = 2 x 2 x 2 x 2 x 3 x 3 x 19 x 53 x 67

Step 4: Therefore, the least common multiple of 7632 and 7638 is 9715536.