Least Common Multiple of 6611 and 6618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6611 and 6618 the smallest integer that is 43751598 that is divisible by both numbers.

Least Common Multiple (LCM) of 6611 and 6618 is 43751598.

LCM(6611,6618) = 43751598

LCM of 6611 and 6618

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

LCM of:
and

Least Common Multiple of 6611 and 6618

LCM of 6611 and 6618 is 43751598

Least common multiple can be found by multiplying the highest exponent prime factors of 6611 and 6618. First we will calculate the prime factors of 6611 and 6618.

Prime Factorization of 6611


11 6611
601 601
1

Prime factors of 6611 are 11,601. Prime factorization of 6611 in exponential form is:

6611 = 111×6011

Prime Factorization of 6618


2 6618
3 3309
1103 1103
1

Prime factors of 6618 are 2, 3,1103. Prime factorization of 6618 in exponential form is:

6618 = 21×31×11031

Now multiplying the highest exponent prime factors to calculate the LCM of 6611 and 6618.

LCM(6611,6618) = 21×31×111×6011×11031
LCM(6611,6618) = 43751598

Factors of 6611

List of positive integer factors of 6611 that divides 6611 without a remainder.

1, 11, 601, 6611

Factors of 6618

List of positive integer factors of 6618 that divides 6618 without a remainder.

1, 2, 3, 6, 1103, 2206, 3309, 6618

Least Common Multiple of 6611 and 6618 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6611 and 6618, than apply into the LCM equation.

GCF(6611,6618) = 1
LCM(6611,6618) = ( 6611 × 6618) / 1
LCM(6611,6618) = 43751598 / 1
LCM(6611,6618) = 43751598

Properties of LCM 6611 and 6618

(i) The LCM of 6618 and 6611 is associative

LCM of 6611 and 6618 = LCM of 6618 and 6611

Related Least Common Multiples of 6611

Related Least Common Multiples of 6618

Frequently Asked Questions on LCM of 6611 and 6618

1. What is the LCM of 6611 and 6618?

Answer: LCM of 6611 and 6618 is 43751598.

2. What are the Factors of 6611?

Answer: Factors of 6611 are 1, 11, 601, 6611. There are 4 integers that are factors of 6611. The greatest factor of 6611 is 6611.

3. What are the Factors of 6618?

Answer: Factors of 6618 are 1, 2, 3, 6, 1103, 2206, 3309, 6618. There are 8 integers that are factors of 6618. The greatest factor of 6618 is 6618.

4. How to Find the LCM of 6611 and 6618?

Answer:

Least Common Multiple of 6611 and 6618 = 43751598

Step 1: Find the prime factorization of 6611

6611 = 11 x 601

Step 2: Find the prime factorization of 6618

6618 = 2 x 3 x 1103

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

LCM = 43751598 = 2 x 3 x 11 x 601 x 1103

Step 4: Therefore, the least common multiple of 6611 and 6618 is 43751598.