Least Common Multiple of 7628 and 7633

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 7633 the smallest integer that is 58224524 that is divisible by both numbers.

Least Common Multiple (LCM) of 7628 and 7633 is 58224524.

LCM(7628,7633) = 58224524

LCM of 7628 and 7633

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

LCM of:
and

Least Common Multiple of 7628 and 7633

LCM of 7628 and 7633 is 58224524

Least common multiple can be found by multiplying the highest exponent prime factors of 7628 and 7633. First we will calculate the prime factors of 7628 and 7633.

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 7633


17 7633
449 449
1

Prime factors of 7633 are 17,449. Prime factorization of 7633 in exponential form is:

7633 = 171×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 7628 and 7633.

LCM(7628,7633) = 22×171×4491×19071
LCM(7628,7633) = 58224524

Factors of 7628

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

1, 2, 4, 1907, 3814, 7628

Factors of 7633

List of positive integer factors of 7633 that divides 7633 without a remainder.

1, 17, 449, 7633

Least Common Multiple of 7628 and 7633 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 7633, than apply into the LCM equation.

GCF(7628,7633) = 1
LCM(7628,7633) = ( 7628 × 7633) / 1
LCM(7628,7633) = 58224524 / 1
LCM(7628,7633) = 58224524

Properties of LCM 7628 and 7633

(i) The LCM of 7633 and 7628 is associative

LCM of 7628 and 7633 = LCM of 7633 and 7628

Related Least Common Multiples of 7628

Related Least Common Multiples of 7633

Frequently Asked Questions on LCM of 7628 and 7633

1. What is the LCM of 7628 and 7633?

Answer: LCM of 7628 and 7633 is 58224524.

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 7633?

Answer: Factors of 7633 are 1, 17, 449, 7633. There are 4 integers that are factors of 7633. The greatest factor of 7633 is 7633.

4. How to Find the LCM of 7628 and 7633?

Answer:

Least Common Multiple of 7628 and 7633 = 58224524

Step 1: Find the prime factorization of 7628

7628 = 2 x 2 x 1907

Step 2: Find the prime factorization of 7633

7633 = 17 x 449

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

LCM = 58224524 = 2 x 2 x 17 x 449 x 1907

Step 4: Therefore, the least common multiple of 7628 and 7633 is 58224524.