Least Common Multiple of 7628 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 7628 and 7632 the smallest integer that is 14554224 that is divisible by both numbers.

Least Common Multiple (LCM) of 7628 and 7632 is 14554224.

LCM(7628,7632) = 14554224

LCM of 7628 and 7632

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

LCM of:
and

Least Common Multiple of 7628 and 7632

LCM of 7628 and 7632 is 14554224

Least common multiple can be found by multiplying the highest exponent prime factors of 7628 and 7632. First we will calculate the prime factors of 7628 and 7632.

Prime Factorization of 7628


2 7628
2 3814
1907 1907
1

Prime factors of 7628 are 2,1907. Prime factorization of 7628 in exponential form is:

7628 = 22×19071

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 7628 and 7632.

LCM(7628,7632) = 24×32×531×19071
LCM(7628,7632) = 14554224

Factors of 7628

List of positive integer factors of 7628 that divides 7628 without a remainder.

1, 2, 4, 1907, 3814, 7628

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 7628 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 7628 and 7632, than apply into the LCM equation.

GCF(7628,7632) = 4
LCM(7628,7632) = ( 7628 × 7632) / 4
LCM(7628,7632) = 58216896 / 4
LCM(7628,7632) = 14554224

Properties of LCM 7628 and 7632

(i) The LCM of 7632 and 7628 is associative

LCM of 7628 and 7632 = LCM of 7632 and 7628

Related Least Common Multiples of 7628

Related Least Common Multiples of 7632

Frequently Asked Questions on LCM of 7628 and 7632

1. What is the LCM of 7628 and 7632?

Answer: LCM of 7628 and 7632 is 14554224.

2. What are the Factors of 7628?

Answer: Factors of 7628 are 1, 2, 4, 1907, 3814, 7628. There are 6 integers that are factors of 7628. The greatest factor of 7628 is 7628.

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 7628 and 7632?

Answer:

Least Common Multiple of 7628 and 7632 = 14554224

Step 1: Find the prime factorization of 7628

7628 = 2 x 2 x 1907

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 = 14554224 = 2 x 2 x 2 x 2 x 3 x 3 x 53 x 1907

Step 4: Therefore, the least common multiple of 7628 and 7632 is 14554224.