Least Common Multiple of 1665 and 1672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1665 and 1672 the smallest integer that is 2783880 that is divisible by both numbers.

Least Common Multiple (LCM) of 1665 and 1672 is 2783880.

LCM(1665,1672) = 2783880

LCM of 1665 and 1672

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

LCM of:
and

Least Common Multiple of 1665 and 1672

LCM of 1665 and 1672 is 2783880

Least common multiple can be found by multiplying the highest exponent prime factors of 1665 and 1672. First we will calculate the prime factors of 1665 and 1672.

Prime Factorization of 1665


3 1665
3 555
5 185
37 37
1

Prime factors of 1665 are 3, 5,37. Prime factorization of 1665 in exponential form is:

1665 = 32×51×371

Prime Factorization of 1672


2 1672
2 836
2 418
11 209
19 19
1

Prime factors of 1672 are 2, 11,19. Prime factorization of 1672 in exponential form is:

1672 = 23×111×191

Now multiplying the highest exponent prime factors to calculate the LCM of 1665 and 1672.

LCM(1665,1672) = 23×32×51×111×191×371
LCM(1665,1672) = 2783880

Factors of 1665

List of positive integer factors of 1665 that divides 1665 without a remainder.

1, 3, 5, 9, 15, 37, 45, 111, 185, 333, 555, 1665

Factors of 1672

List of positive integer factors of 1672 that divides 1672 without a remainder.

1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836, 1672

Least Common Multiple of 1665 and 1672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1665 and 1672, than apply into the LCM equation.

GCF(1665,1672) = 1
LCM(1665,1672) = ( 1665 × 1672) / 1
LCM(1665,1672) = 2783880 / 1
LCM(1665,1672) = 2783880

Properties of LCM 1665 and 1672

(i) The LCM of 1672 and 1665 is associative

LCM of 1665 and 1672 = LCM of 1672 and 1665

Related Least Common Multiples of 1665

Related Least Common Multiples of 1672

Frequently Asked Questions on LCM of 1665 and 1672

1. What is the LCM of 1665 and 1672?

Answer: LCM of 1665 and 1672 is 2783880.

2. What are the Factors of 1665?

Answer: Factors of 1665 are 1, 3, 5, 9, 15, 37, 45, 111, 185, 333, 555, 1665. There are 12 integers that are factors of 1665. The greatest factor of 1665 is 1665.

3. What are the Factors of 1672?

Answer: Factors of 1672 are 1, 2, 4, 8, 11, 19, 22, 38, 44, 76, 88, 152, 209, 418, 836, 1672. There are 16 integers that are factors of 1672. The greatest factor of 1672 is 1672.

4. How to Find the LCM of 1665 and 1672?

Answer:

Least Common Multiple of 1665 and 1672 = 2783880

Step 1: Find the prime factorization of 1665

1665 = 3 x 3 x 5 x 37

Step 2: Find the prime factorization of 1672

1672 = 2 x 2 x 2 x 11 x 19

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

LCM = 2783880 = 2 x 2 x 2 x 3 x 3 x 5 x 11 x 19 x 37

Step 4: Therefore, the least common multiple of 1665 and 1672 is 2783880.