Least Common Multiple of 1663 and 1669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1663 and 1669 the smallest integer that is 2775547 that is divisible by both numbers.

Least Common Multiple (LCM) of 1663 and 1669 is 2775547.

LCM(1663,1669) = 2775547

LCM of 1663 and 1669

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

LCM of:
and

Least Common Multiple of 1663 and 1669

LCM of 1663 and 1669 is 2775547

Least common multiple can be found by multiplying the highest exponent prime factors of 1663 and 1669. First we will calculate the prime factors of 1663 and 1669.

Prime Factorization of 1663


1663 1663
1

Prime factors of 1663 are 1663. Prime factorization of 1663 in exponential form is:

1663 = 16631

Prime Factorization of 1669


1669 1669
1

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

1669 = 16691

Now multiplying the highest exponent prime factors to calculate the LCM of 1663 and 1669.

LCM(1663,1669) = 16631×16691
LCM(1663,1669) = 2775547

Factors of 1663

List of positive integer factors of 1663 that divides 1663 without a remainder.

1, 1663

Factors of 1669

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

1, 1669

Least Common Multiple of 1663 and 1669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1663 and 1669, than apply into the LCM equation.

GCF(1663,1669) = 1
LCM(1663,1669) = ( 1663 × 1669) / 1
LCM(1663,1669) = 2775547 / 1
LCM(1663,1669) = 2775547

Properties of LCM 1663 and 1669

(i) The LCM of 1669 and 1663 is associative

LCM of 1663 and 1669 = LCM of 1669 and 1663

Related Least Common Multiples of 1663

Related Least Common Multiples of 1669

Frequently Asked Questions on LCM of 1663 and 1669

1. What is the LCM of 1663 and 1669?

Answer: LCM of 1663 and 1669 is 2775547.

2. What are the Factors of 1663?

Answer: Factors of 1663 are 1, 1663. There are 2 integers that are factors of 1663. The greatest factor of 1663 is 1663.

3. 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.

4. How to Find the LCM of 1663 and 1669?

Answer:

Least Common Multiple of 1663 and 1669 = 2775547

Step 1: Find the prime factorization of 1663

1663 = 1663

Step 2: Find the prime factorization of 1669

1669 = 1669

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

LCM = 2775547 = 1663 x 1669

Step 4: Therefore, the least common multiple of 1663 and 1669 is 2775547.