Least Common Multiple of 6627 and 6632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6627 and 6632 the smallest integer that is 43950264 that is divisible by both numbers.

Least Common Multiple (LCM) of 6627 and 6632 is 43950264.

LCM(6627,6632) = 43950264

LCM of 6627 and 6632

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

LCM of:
and

Least Common Multiple of 6627 and 6632

LCM of 6627 and 6632 is 43950264

Least common multiple can be found by multiplying the highest exponent prime factors of 6627 and 6632. First we will calculate the prime factors of 6627 and 6632.

Prime Factorization of 6627


3 6627
47 2209
47 47
1

Prime factors of 6627 are 3,47. Prime factorization of 6627 in exponential form is:

6627 = 31×472

Prime Factorization of 6632


2 6632
2 3316
2 1658
829 829
1

Prime factors of 6632 are 2,829. Prime factorization of 6632 in exponential form is:

6632 = 23×8291

Now multiplying the highest exponent prime factors to calculate the LCM of 6627 and 6632.

LCM(6627,6632) = 23×31×472×8291
LCM(6627,6632) = 43950264

Factors of 6627

List of positive integer factors of 6627 that divides 6627 without a remainder.

1, 3, 47, 141, 2209, 6627

Factors of 6632

List of positive integer factors of 6632 that divides 6632 without a remainder.

1, 2, 4, 8, 829, 1658, 3316, 6632

Least Common Multiple of 6627 and 6632 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6627 and 6632, than apply into the LCM equation.

GCF(6627,6632) = 1
LCM(6627,6632) = ( 6627 × 6632) / 1
LCM(6627,6632) = 43950264 / 1
LCM(6627,6632) = 43950264

Properties of LCM 6627 and 6632

(i) The LCM of 6632 and 6627 is associative

LCM of 6627 and 6632 = LCM of 6632 and 6627

Related Least Common Multiples of 6627

Related Least Common Multiples of 6632

Frequently Asked Questions on LCM of 6627 and 6632

1. What is the LCM of 6627 and 6632?

Answer: LCM of 6627 and 6632 is 43950264.

2. What are the Factors of 6627?

Answer: Factors of 6627 are 1, 3, 47, 141, 2209, 6627. There are 6 integers that are factors of 6627. The greatest factor of 6627 is 6627.

3. What are the Factors of 6632?

Answer: Factors of 6632 are 1, 2, 4, 8, 829, 1658, 3316, 6632. There are 8 integers that are factors of 6632. The greatest factor of 6632 is 6632.

4. How to Find the LCM of 6627 and 6632?

Answer:

Least Common Multiple of 6627 and 6632 = 43950264

Step 1: Find the prime factorization of 6627

6627 = 3 x 47 x 47

Step 2: Find the prime factorization of 6632

6632 = 2 x 2 x 2 x 829

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

LCM = 43950264 = 2 x 2 x 2 x 3 x 47 x 47 x 829

Step 4: Therefore, the least common multiple of 6627 and 6632 is 43950264.