Least Common Multiple of 1664 and 1671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1664 and 1671 the smallest integer that is 2780544 that is divisible by both numbers.

Least Common Multiple (LCM) of 1664 and 1671 is 2780544.

LCM(1664,1671) = 2780544

LCM of 1664 and 1671

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

LCM of:
and

Least Common Multiple of 1664 and 1671

LCM of 1664 and 1671 is 2780544

Least common multiple can be found by multiplying the highest exponent prime factors of 1664 and 1671. First we will calculate the prime factors of 1664 and 1671.

Prime Factorization of 1664


2 1664
2 832
2 416
2 208
2 104
2 52
2 26
13 13
1

Prime factors of 1664 are 2,13. Prime factorization of 1664 in exponential form is:

1664 = 27×131

Prime Factorization of 1671


3 1671
557 557
1

Prime factors of 1671 are 3,557. Prime factorization of 1671 in exponential form is:

1671 = 31×5571

Now multiplying the highest exponent prime factors to calculate the LCM of 1664 and 1671.

LCM(1664,1671) = 27×31×131×5571
LCM(1664,1671) = 2780544

Factors of 1664

List of positive integer factors of 1664 that divides 1664 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664

Factors of 1671

List of positive integer factors of 1671 that divides 1671 without a remainder.

1, 3, 557, 1671

Least Common Multiple of 1664 and 1671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1664 and 1671, than apply into the LCM equation.

GCF(1664,1671) = 1
LCM(1664,1671) = ( 1664 × 1671) / 1
LCM(1664,1671) = 2780544 / 1
LCM(1664,1671) = 2780544

Properties of LCM 1664 and 1671

(i) The LCM of 1671 and 1664 is associative

LCM of 1664 and 1671 = LCM of 1671 and 1664

Related Least Common Multiples of 1664

Related Least Common Multiples of 1671

Frequently Asked Questions on LCM of 1664 and 1671

1. What is the LCM of 1664 and 1671?

Answer: LCM of 1664 and 1671 is 2780544.

2. What are the Factors of 1664?

Answer: Factors of 1664 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 416, 832, 1664. There are 16 integers that are factors of 1664. The greatest factor of 1664 is 1664.

3. What are the Factors of 1671?

Answer: Factors of 1671 are 1, 3, 557, 1671. There are 4 integers that are factors of 1671. The greatest factor of 1671 is 1671.

4. How to Find the LCM of 1664 and 1671?

Answer:

Least Common Multiple of 1664 and 1671 = 2780544

Step 1: Find the prime factorization of 1664

1664 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 13

Step 2: Find the prime factorization of 1671

1671 = 3 x 557

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

LCM = 2780544 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 557

Step 4: Therefore, the least common multiple of 1664 and 1671 is 2780544.