Least Common Multiple of 630 and 638

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 638 the smallest integer that is 200970 that is divisible by both numbers.

Least Common Multiple (LCM) of 630 and 638 is 200970.

LCM(630,638) = 200970

LCM of 630 and 638

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

LCM of:
and

Least Common Multiple of 630 and 638

LCM of 630 and 638 is 200970

Least common multiple can be found by multiplying the highest exponent prime factors of 630 and 638. First we will calculate the prime factors of 630 and 638.

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 638


2 638
11 319
29 29
1

Prime factors of 638 are 2, 11,29. Prime factorization of 638 in exponential form is:

638 = 21×111×291

Now multiplying the highest exponent prime factors to calculate the LCM of 630 and 638.

LCM(630,638) = 21×32×51×71×111×291
LCM(630,638) = 200970

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 638

List of positive integer factors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Least Common Multiple of 630 and 638 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 638, than apply into the LCM equation.

GCF(630,638) = 2
LCM(630,638) = ( 630 × 638) / 2
LCM(630,638) = 401940 / 2
LCM(630,638) = 200970

Properties of LCM 630 and 638

(i) The LCM of 638 and 630 is associative

LCM of 630 and 638 = LCM of 638 and 630

Related Least Common Multiples of 630

Related Least Common Multiples of 638

Frequently Asked Questions on LCM of 630 and 638

1. What is the LCM of 630 and 638?

Answer: LCM of 630 and 638 is 200970.

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 638?

Answer: Factors of 638 are 1, 2, 11, 22, 29, 58, 319, 638. There are 8 integers that are factors of 638. The greatest factor of 638 is 638.

4. How to Find the LCM of 630 and 638?

Answer:

Least Common Multiple of 630 and 638 = 200970

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 638

638 = 2 x 11 x 29

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

LCM = 200970 = 2 x 3 x 3 x 5 x 7 x 11 x 29

Step 4: Therefore, the least common multiple of 630 and 638 is 200970.