Least Common Multiple of 4631 and 4635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4631 and 4635 the smallest integer that is 21464685 that is divisible by both numbers.

Least Common Multiple (LCM) of 4631 and 4635 is 21464685.

LCM(4631,4635) = 21464685

LCM of 4631 and 4635

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

LCM of:
and

Least Common Multiple of 4631 and 4635

LCM of 4631 and 4635 is 21464685

Least common multiple can be found by multiplying the highest exponent prime factors of 4631 and 4635. First we will calculate the prime factors of 4631 and 4635.

Prime Factorization of 4631


11 4631
421 421
1

Prime factors of 4631 are 11,421. Prime factorization of 4631 in exponential form is:

4631 = 111×4211

Prime Factorization of 4635


3 4635
3 1545
5 515
103 103
1

Prime factors of 4635 are 3, 5,103. Prime factorization of 4635 in exponential form is:

4635 = 32×51×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 4631 and 4635.

LCM(4631,4635) = 32×51×111×1031×4211
LCM(4631,4635) = 21464685

Factors of 4631

List of positive integer factors of 4631 that divides 4631 without a remainder.

1, 11, 421, 4631

Factors of 4635

List of positive integer factors of 4635 that divides 4635 without a remainder.

1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545, 4635

Least Common Multiple of 4631 and 4635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4631 and 4635, than apply into the LCM equation.

GCF(4631,4635) = 1
LCM(4631,4635) = ( 4631 × 4635) / 1
LCM(4631,4635) = 21464685 / 1
LCM(4631,4635) = 21464685

Properties of LCM 4631 and 4635

(i) The LCM of 4635 and 4631 is associative

LCM of 4631 and 4635 = LCM of 4635 and 4631

Related Least Common Multiples of 4631

Related Least Common Multiples of 4635

Frequently Asked Questions on LCM of 4631 and 4635

1. What is the LCM of 4631 and 4635?

Answer: LCM of 4631 and 4635 is 21464685.

2. What are the Factors of 4631?

Answer: Factors of 4631 are 1, 11, 421, 4631. There are 4 integers that are factors of 4631. The greatest factor of 4631 is 4631.

3. What are the Factors of 4635?

Answer: Factors of 4635 are 1, 3, 5, 9, 15, 45, 103, 309, 515, 927, 1545, 4635. There are 12 integers that are factors of 4635. The greatest factor of 4635 is 4635.

4. How to Find the LCM of 4631 and 4635?

Answer:

Least Common Multiple of 4631 and 4635 = 21464685

Step 1: Find the prime factorization of 4631

4631 = 11 x 421

Step 2: Find the prime factorization of 4635

4635 = 3 x 3 x 5 x 103

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

LCM = 21464685 = 3 x 3 x 5 x 11 x 103 x 421

Step 4: Therefore, the least common multiple of 4631 and 4635 is 21464685.