Least Common Multiple of 4627 and 4631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4627 and 4631 the smallest integer that is 21427637 that is divisible by both numbers.

Least Common Multiple (LCM) of 4627 and 4631 is 21427637.

LCM(4627,4631) = 21427637

LCM of 4627 and 4631

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

LCM of:
and

Least Common Multiple of 4627 and 4631

LCM of 4627 and 4631 is 21427637

Least common multiple can be found by multiplying the highest exponent prime factors of 4627 and 4631. First we will calculate the prime factors of 4627 and 4631.

Prime Factorization of 4627


7 4627
661 661
1

Prime factors of 4627 are 7,661. Prime factorization of 4627 in exponential form is:

4627 = 71×6611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4627 and 4631.

LCM(4627,4631) = 71×111×4211×6611
LCM(4627,4631) = 21427637

Factors of 4627

List of positive integer factors of 4627 that divides 4627 without a remainder.

1, 7, 661, 4627

Factors of 4631

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

1, 11, 421, 4631

Least Common Multiple of 4627 and 4631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4627 and 4631, than apply into the LCM equation.

GCF(4627,4631) = 1
LCM(4627,4631) = ( 4627 × 4631) / 1
LCM(4627,4631) = 21427637 / 1
LCM(4627,4631) = 21427637

Properties of LCM 4627 and 4631

(i) The LCM of 4631 and 4627 is associative

LCM of 4627 and 4631 = LCM of 4631 and 4627

Related Least Common Multiples of 4627

Related Least Common Multiples of 4631

Frequently Asked Questions on LCM of 4627 and 4631

1. What is the LCM of 4627 and 4631?

Answer: LCM of 4627 and 4631 is 21427637.

2. What are the Factors of 4627?

Answer: Factors of 4627 are 1, 7, 661, 4627. There are 4 integers that are factors of 4627. The greatest factor of 4627 is 4627.

3. 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.

4. How to Find the LCM of 4627 and 4631?

Answer:

Least Common Multiple of 4627 and 4631 = 21427637

Step 1: Find the prime factorization of 4627

4627 = 7 x 661

Step 2: Find the prime factorization of 4631

4631 = 11 x 421

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

LCM = 21427637 = 7 x 11 x 421 x 661

Step 4: Therefore, the least common multiple of 4627 and 4631 is 21427637.