Least Common Multiple of 629 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 629 and 630 the smallest integer that is 396270 that is divisible by both numbers.

Least Common Multiple (LCM) of 629 and 630 is 396270.

LCM(629,630) = 396270

LCM of 629 and 630

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

LCM of:
and

Least Common Multiple of 629 and 630

LCM of 629 and 630 is 396270

Least common multiple can be found by multiplying the highest exponent prime factors of 629 and 630. First we will calculate the prime factors of 629 and 630.

Prime Factorization of 629


17 629
37 37
1

Prime factors of 629 are 17,37. Prime factorization of 629 in exponential form is:

629 = 171×371

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 629 and 630.

LCM(629,630) = 21×32×51×71×171×371
LCM(629,630) = 396270

Factors of 629

List of positive integer factors of 629 that divides 629 without a remainder.

1, 17, 37, 629

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 629 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 629 and 630, than apply into the LCM equation.

GCF(629,630) = 1
LCM(629,630) = ( 629 × 630) / 1
LCM(629,630) = 396270 / 1
LCM(629,630) = 396270

Properties of LCM 629 and 630

(i) The LCM of 630 and 629 is associative

LCM of 629 and 630 = LCM of 630 and 629

Related Least Common Multiples of 629

Related Least Common Multiples of 630

Frequently Asked Questions on LCM of 629 and 630

1. What is the LCM of 629 and 630?

Answer: LCM of 629 and 630 is 396270.

2. What are the Factors of 629?

Answer: Factors of 629 are 1, 17, 37, 629. There are 4 integers that are factors of 629. The greatest factor of 629 is 629.

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 629 and 630?

Answer:

Least Common Multiple of 629 and 630 = 396270

Step 1: Find the prime factorization of 629

629 = 17 x 37

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 = 396270 = 2 x 3 x 3 x 5 x 7 x 17 x 37

Step 4: Therefore, the least common multiple of 629 and 630 is 396270.