Least Common Multiple of 631 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 631 and 635 the smallest integer that is 400685 that is divisible by both numbers.

Least Common Multiple (LCM) of 631 and 635 is 400685.

LCM(631,635) = 400685

LCM of 631 and 635

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

LCM of:
and

Least Common Multiple of 631 and 635

LCM of 631 and 635 is 400685

Least common multiple can be found by multiplying the highest exponent prime factors of 631 and 635. First we will calculate the prime factors of 631 and 635.

Prime Factorization of 631


631 631
1

Prime factors of 631 are 631. Prime factorization of 631 in exponential form is:

631 = 6311

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 631 and 635.

LCM(631,635) = 51×1271×6311
LCM(631,635) = 400685

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1, 631

Factors of 635

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

1, 5, 127, 635

Least Common Multiple of 631 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 631 and 635, than apply into the LCM equation.

GCF(631,635) = 1
LCM(631,635) = ( 631 × 635) / 1
LCM(631,635) = 400685 / 1
LCM(631,635) = 400685

Properties of LCM 631 and 635

(i) The LCM of 635 and 631 is associative

LCM of 631 and 635 = LCM of 635 and 631

Related Least Common Multiples of 631

Related Least Common Multiples of 635

Frequently Asked Questions on LCM of 631 and 635

1. What is the LCM of 631 and 635?

Answer: LCM of 631 and 635 is 400685.

2. What are the Factors of 631?

Answer: Factors of 631 are 1, 631. There are 2 integers that are factors of 631. The greatest factor of 631 is 631.

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 631 and 635?

Answer:

Least Common Multiple of 631 and 635 = 400685

Step 1: Find the prime factorization of 631

631 = 631

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 = 400685 = 5 x 127 x 631

Step 4: Therefore, the least common multiple of 631 and 635 is 400685.