Least Common Multiple of 630 and 635

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 635 the smallest integer that is 80010 that is divisible by both numbers.

Least Common Multiple (LCM) of 630 and 635 is 80010.

LCM(630,635) = 80010

LCM of 630 and 635

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

LCM of:
and

Least Common Multiple of 630 and 635

LCM of 630 and 635 is 80010

Least common multiple can be found by multiplying the highest exponent prime factors of 630 and 635. First we will calculate the prime factors of 630 and 635.

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 635


5 635
127 127
1

Prime factors of 635 are 5,127. Prime factorization of 635 in exponential form is:

635 = 51×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 630 and 635.

LCM(630,635) = 21×32×51×71×1271
LCM(630,635) = 80010

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 635

List of positive integer factors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Least Common Multiple of 630 and 635 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 635, than apply into the LCM equation.

GCF(630,635) = 5
LCM(630,635) = ( 630 × 635) / 5
LCM(630,635) = 400050 / 5
LCM(630,635) = 80010

Properties of LCM 630 and 635

(i) The LCM of 635 and 630 is associative

LCM of 630 and 635 = LCM of 635 and 630

Related Least Common Multiples of 630

Related Least Common Multiples of 635

Frequently Asked Questions on LCM of 630 and 635

1. What is the LCM of 630 and 635?

Answer: LCM of 630 and 635 is 80010.

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 635?

Answer: Factors of 635 are 1, 5, 127, 635. There are 4 integers that are factors of 635. The greatest factor of 635 is 635.

4. How to Find the LCM of 630 and 635?

Answer:

Least Common Multiple of 630 and 635 = 80010

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 635

635 = 5 x 127

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

LCM = 80010 = 2 x 3 x 3 x 5 x 7 x 127

Step 4: Therefore, the least common multiple of 630 and 635 is 80010.