Least Common Multiple of 1669 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 1669 and 1675 the smallest integer that is 2795575 that is divisible by both numbers.

Least Common Multiple (LCM) of 1669 and 1675 is 2795575.

LCM(1669,1675) = 2795575

LCM of 1669 and 1675

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

LCM of:
and

Least Common Multiple of 1669 and 1675

LCM of 1669 and 1675 is 2795575

Least common multiple can be found by multiplying the highest exponent prime factors of 1669 and 1675. First we will calculate the prime factors of 1669 and 1675.

Prime Factorization of 1669


1669 1669
1

Prime factors of 1669 are 1669. Prime factorization of 1669 in exponential form is:

1669 = 16691

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 1669 and 1675.

LCM(1669,1675) = 52×671×16691
LCM(1669,1675) = 2795575

Factors of 1669

List of positive integer factors of 1669 that divides 1669 without a remainder.

1, 1669

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 1669 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 1669 and 1675, than apply into the LCM equation.

GCF(1669,1675) = 1
LCM(1669,1675) = ( 1669 × 1675) / 1
LCM(1669,1675) = 2795575 / 1
LCM(1669,1675) = 2795575

Properties of LCM 1669 and 1675

(i) The LCM of 1675 and 1669 is associative

LCM of 1669 and 1675 = LCM of 1675 and 1669

Related Least Common Multiples of 1669

Related Least Common Multiples of 1675

Frequently Asked Questions on LCM of 1669 and 1675

1. What is the LCM of 1669 and 1675?

Answer: LCM of 1669 and 1675 is 2795575.

2. What are the Factors of 1669?

Answer: Factors of 1669 are 1, 1669. There are 2 integers that are factors of 1669. The greatest factor of 1669 is 1669.

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 1669 and 1675?

Answer:

Least Common Multiple of 1669 and 1675 = 2795575

Step 1: Find the prime factorization of 1669

1669 = 1669

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 = 2795575 = 5 x 5 x 67 x 1669

Step 4: Therefore, the least common multiple of 1669 and 1675 is 2795575.