Least Common Multiple of 664 and 671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 664 and 671 the smallest integer that is 445544 that is divisible by both numbers.

Least Common Multiple (LCM) of 664 and 671 is 445544.

LCM(664,671) = 445544

LCM of 664 and 671

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

LCM of:
and

Least Common Multiple of 664 and 671

LCM of 664 and 671 is 445544

Least common multiple can be found by multiplying the highest exponent prime factors of 664 and 671. First we will calculate the prime factors of 664 and 671.

Prime Factorization of 664


2 664
2 332
2 166
83 83
1

Prime factors of 664 are 2,83. Prime factorization of 664 in exponential form is:

664 = 23×831

Prime Factorization of 671


11 671
61 61
1

Prime factors of 671 are 11,61. Prime factorization of 671 in exponential form is:

671 = 111×611

Now multiplying the highest exponent prime factors to calculate the LCM of 664 and 671.

LCM(664,671) = 23×111×611×831
LCM(664,671) = 445544

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Factors of 671

List of positive integer factors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Least Common Multiple of 664 and 671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 664 and 671, than apply into the LCM equation.

GCF(664,671) = 1
LCM(664,671) = ( 664 × 671) / 1
LCM(664,671) = 445544 / 1
LCM(664,671) = 445544

Properties of LCM 664 and 671

(i) The LCM of 671 and 664 is associative

LCM of 664 and 671 = LCM of 671 and 664

Related Least Common Multiples of 664

Related Least Common Multiples of 671

Frequently Asked Questions on LCM of 664 and 671

1. What is the LCM of 664 and 671?

Answer: LCM of 664 and 671 is 445544.

2. What are the Factors of 664?

Answer: Factors of 664 are 1, 2, 4, 8, 83, 166, 332, 664. There are 8 integers that are factors of 664. The greatest factor of 664 is 664.

3. What are the Factors of 671?

Answer: Factors of 671 are 1, 11, 61, 671. There are 4 integers that are factors of 671. The greatest factor of 671 is 671.

4. How to Find the LCM of 664 and 671?

Answer:

Least Common Multiple of 664 and 671 = 445544

Step 1: Find the prime factorization of 664

664 = 2 x 2 x 2 x 83

Step 2: Find the prime factorization of 671

671 = 11 x 61

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

LCM = 445544 = 2 x 2 x 2 x 11 x 61 x 83

Step 4: Therefore, the least common multiple of 664 and 671 is 445544.