Least Common Multiple of 628 and 630

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 630 the smallest integer that is 197820 that is divisible by both numbers.

Least Common Multiple (LCM) of 628 and 630 is 197820.

LCM(628,630) = 197820

LCM of 628 and 630

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

LCM of:
and

Least Common Multiple of 628 and 630

LCM of 628 and 630 is 197820

Least common multiple can be found by multiplying the highest exponent prime factors of 628 and 630. First we will calculate the prime factors of 628 and 630.

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 630


2 630
3 315
3 105
5 35
7 7
1

Prime factors of 630 are 2, 3, 5,7. Prime factorization of 630 in exponential form is:

630 = 21×32×51×71

Now multiplying the highest exponent prime factors to calculate the LCM of 628 and 630.

LCM(628,630) = 22×32×51×71×1571
LCM(628,630) = 197820

Factors of 628

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

1, 2, 4, 157, 314, 628

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Least Common Multiple of 628 and 630 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 630, than apply into the LCM equation.

GCF(628,630) = 2
LCM(628,630) = ( 628 × 630) / 2
LCM(628,630) = 395640 / 2
LCM(628,630) = 197820

Properties of LCM 628 and 630

(i) The LCM of 630 and 628 is associative

LCM of 628 and 630 = LCM of 630 and 628

Related Least Common Multiples of 628

Related Least Common Multiples of 630

Frequently Asked Questions on LCM of 628 and 630

1. What is the LCM of 628 and 630?

Answer: LCM of 628 and 630 is 197820.

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 630?

Answer: Factors of 630 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630. There are 24 integers that are factors of 630. The greatest factor of 630 is 630.

4. How to Find the LCM of 628 and 630?

Answer:

Least Common Multiple of 628 and 630 = 197820

Step 1: Find the prime factorization of 628

628 = 2 x 2 x 157

Step 2: Find the prime factorization of 630

630 = 2 x 3 x 3 x 5 x 7

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

LCM = 197820 = 2 x 2 x 3 x 3 x 5 x 7 x 157

Step 4: Therefore, the least common multiple of 628 and 630 is 197820.