Least Common Multiple of 1671 and 1675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1671 and 1675 the smallest integer that is 2798925 that is divisible by both numbers.

Least Common Multiple (LCM) of 1671 and 1675 is 2798925.

LCM(1671,1675) = 2798925

LCM of 1671 and 1675

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

LCM of:
and

Least Common Multiple of 1671 and 1675

LCM of 1671 and 1675 is 2798925

Least common multiple can be found by multiplying the highest exponent prime factors of 1671 and 1675. First we will calculate the prime factors of 1671 and 1675.

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

Prime Factorization of 1675


5 1675
5 335
67 67
1

Prime factors of 1675 are 5,67. Prime factorization of 1675 in exponential form is:

1675 = 52×671

Now multiplying the highest exponent prime factors to calculate the LCM of 1671 and 1675.

LCM(1671,1675) = 31×52×671×5571
LCM(1671,1675) = 2798925

Factors of 1671

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

1, 3, 557, 1671

Factors of 1675

List of positive integer factors of 1675 that divides 1675 without a remainder.

1, 5, 25, 67, 335, 1675

Least Common Multiple of 1671 and 1675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1671 and 1675, than apply into the LCM equation.

GCF(1671,1675) = 1
LCM(1671,1675) = ( 1671 × 1675) / 1
LCM(1671,1675) = 2798925 / 1
LCM(1671,1675) = 2798925

Properties of LCM 1671 and 1675

(i) The LCM of 1675 and 1671 is associative

LCM of 1671 and 1675 = LCM of 1675 and 1671

Related Least Common Multiples of 1671

Related Least Common Multiples of 1675

Frequently Asked Questions on LCM of 1671 and 1675

1. What is the LCM of 1671 and 1675?

Answer: LCM of 1671 and 1675 is 2798925.

2. 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.

3. What are the Factors of 1675?

Answer: Factors of 1675 are 1, 5, 25, 67, 335, 1675. There are 6 integers that are factors of 1675. The greatest factor of 1675 is 1675.

4. How to Find the LCM of 1671 and 1675?

Answer:

Least Common Multiple of 1671 and 1675 = 2798925

Step 1: Find the prime factorization of 1671

1671 = 3 x 557

Step 2: Find the prime factorization of 1675

1675 = 5 x 5 x 67

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

LCM = 2798925 = 3 x 5 x 5 x 67 x 557

Step 4: Therefore, the least common multiple of 1671 and 1675 is 2798925.