Least Common Multiple of 6604 and 6611

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6604 and 6611 the smallest integer that is 43659044 that is divisible by both numbers.

Least Common Multiple (LCM) of 6604 and 6611 is 43659044.

LCM(6604,6611) = 43659044

LCM of 6604 and 6611

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

LCM of:
and

Least Common Multiple of 6604 and 6611

LCM of 6604 and 6611 is 43659044

Least common multiple can be found by multiplying the highest exponent prime factors of 6604 and 6611. First we will calculate the prime factors of 6604 and 6611.

Prime Factorization of 6604


2 6604
2 3302
13 1651
127 127
1

Prime factors of 6604 are 2, 13,127. Prime factorization of 6604 in exponential form is:

6604 = 22×131×1271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6604 and 6611.

LCM(6604,6611) = 22×111×131×1271×6011
LCM(6604,6611) = 43659044

Factors of 6604

List of positive integer factors of 6604 that divides 6604 without a remainder.

1, 2, 4, 13, 26, 52, 127, 254, 508, 1651, 3302, 6604

Factors of 6611

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

1, 11, 601, 6611

Least Common Multiple of 6604 and 6611 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6604 and 6611, than apply into the LCM equation.

GCF(6604,6611) = 1
LCM(6604,6611) = ( 6604 × 6611) / 1
LCM(6604,6611) = 43659044 / 1
LCM(6604,6611) = 43659044

Properties of LCM 6604 and 6611

(i) The LCM of 6611 and 6604 is associative

LCM of 6604 and 6611 = LCM of 6611 and 6604

Related Least Common Multiples of 6604

Related Least Common Multiples of 6611

Frequently Asked Questions on LCM of 6604 and 6611

1. What is the LCM of 6604 and 6611?

Answer: LCM of 6604 and 6611 is 43659044.

2. What are the Factors of 6604?

Answer: Factors of 6604 are 1, 2, 4, 13, 26, 52, 127, 254, 508, 1651, 3302, 6604. There are 12 integers that are factors of 6604. The greatest factor of 6604 is 6604.

3. 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.

4. How to Find the LCM of 6604 and 6611?

Answer:

Least Common Multiple of 6604 and 6611 = 43659044

Step 1: Find the prime factorization of 6604

6604 = 2 x 2 x 13 x 127

Step 2: Find the prime factorization of 6611

6611 = 11 x 601

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

LCM = 43659044 = 2 x 2 x 11 x 13 x 127 x 601

Step 4: Therefore, the least common multiple of 6604 and 6611 is 43659044.