Least Common Multiple of 630 and 634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 630 and 634 the smallest integer that is 199710 that is divisible by both numbers.

Least Common Multiple (LCM) of 630 and 634 is 199710.

LCM(630,634) = 199710

LCM of 630 and 634

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

LCM of:
and

Least Common Multiple of 630 and 634

LCM of 630 and 634 is 199710

Least common multiple can be found by multiplying the highest exponent prime factors of 630 and 634. First we will calculate the prime factors of 630 and 634.

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

Prime Factorization of 634


2 634
317 317
1

Prime factors of 634 are 2,317. Prime factorization of 634 in exponential form is:

634 = 21×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 630 and 634.

LCM(630,634) = 21×32×51×71×3171
LCM(630,634) = 199710

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

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Least Common Multiple of 630 and 634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 630 and 634, than apply into the LCM equation.

GCF(630,634) = 2
LCM(630,634) = ( 630 × 634) / 2
LCM(630,634) = 399420 / 2
LCM(630,634) = 199710

Properties of LCM 630 and 634

(i) The LCM of 634 and 630 is associative

LCM of 630 and 634 = LCM of 634 and 630

Related Least Common Multiples of 630

Related Least Common Multiples of 634

Frequently Asked Questions on LCM of 630 and 634

1. What is the LCM of 630 and 634?

Answer: LCM of 630 and 634 is 199710.

2. 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.

3. What are the Factors of 634?

Answer: Factors of 634 are 1, 2, 317, 634. There are 4 integers that are factors of 634. The greatest factor of 634 is 634.

4. How to Find the LCM of 630 and 634?

Answer:

Least Common Multiple of 630 and 634 = 199710

Step 1: Find the prime factorization of 630

630 = 2 x 3 x 3 x 5 x 7

Step 2: Find the prime factorization of 634

634 = 2 x 317

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

LCM = 199710 = 2 x 3 x 3 x 5 x 7 x 317

Step 4: Therefore, the least common multiple of 630 and 634 is 199710.