Least Common Multiple of 628 and 633

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 628 and 633 the smallest integer that is 397524 that is divisible by both numbers.

Least Common Multiple (LCM) of 628 and 633 is 397524.

LCM(628,633) = 397524

LCM of 628 and 633

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

LCM of:
and

Least Common Multiple of 628 and 633

LCM of 628 and 633 is 397524

Least common multiple can be found by multiplying the highest exponent prime factors of 628 and 633. First we will calculate the prime factors of 628 and 633.

Prime Factorization of 628


2 628
2 314
157 157
1

Prime factors of 628 are 2,157. Prime factorization of 628 in exponential form is:

628 = 22×1571

Prime Factorization of 633


3 633
211 211
1

Prime factors of 633 are 3,211. Prime factorization of 633 in exponential form is:

633 = 31×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 628 and 633.

LCM(628,633) = 22×31×1571×2111
LCM(628,633) = 397524

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Least Common Multiple of 628 and 633 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 628 and 633, than apply into the LCM equation.

GCF(628,633) = 1
LCM(628,633) = ( 628 × 633) / 1
LCM(628,633) = 397524 / 1
LCM(628,633) = 397524

Properties of LCM 628 and 633

(i) The LCM of 633 and 628 is associative

LCM of 628 and 633 = LCM of 633 and 628

Related Least Common Multiples of 628

Related Least Common Multiples of 633

Frequently Asked Questions on LCM of 628 and 633

1. What is the LCM of 628 and 633?

Answer: LCM of 628 and 633 is 397524.

2. What are the Factors of 628?

Answer: Factors of 628 are 1, 2, 4, 157, 314, 628. There are 6 integers that are factors of 628. The greatest factor of 628 is 628.

3. What are the Factors of 633?

Answer: Factors of 633 are 1, 3, 211, 633. There are 4 integers that are factors of 633. The greatest factor of 633 is 633.

4. How to Find the LCM of 628 and 633?

Answer:

Least Common Multiple of 628 and 633 = 397524

Step 1: Find the prime factorization of 628

628 = 2 x 2 x 157

Step 2: Find the prime factorization of 633

633 = 3 x 211

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

LCM = 397524 = 2 x 2 x 3 x 157 x 211

Step 4: Therefore, the least common multiple of 628 and 633 is 397524.