Least Common Multiple of 1663 and 1667

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 1667 the smallest integer that is 2772221 that is divisible by both numbers.

Least Common Multiple (LCM) of 1663 and 1667 is 2772221.

LCM(1663,1667) = 2772221

LCM of 1663 and 1667

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

LCM of:
and

Least Common Multiple of 1663 and 1667

LCM of 1663 and 1667 is 2772221

Least common multiple can be found by multiplying the highest exponent prime factors of 1663 and 1667. First we will calculate the prime factors of 1663 and 1667.

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 1667


1667 1667
1

Prime factors of 1667 are 1667. Prime factorization of 1667 in exponential form is:

1667 = 16671

Now multiplying the highest exponent prime factors to calculate the LCM of 1663 and 1667.

LCM(1663,1667) = 16631×16671
LCM(1663,1667) = 2772221

Factors of 1663

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

1, 1663

Factors of 1667

List of positive integer factors of 1667 that divides 1667 without a remainder.

1, 1667

Least Common Multiple of 1663 and 1667 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 1667, than apply into the LCM equation.

GCF(1663,1667) = 1
LCM(1663,1667) = ( 1663 × 1667) / 1
LCM(1663,1667) = 2772221 / 1
LCM(1663,1667) = 2772221

Properties of LCM 1663 and 1667

(i) The LCM of 1667 and 1663 is associative

LCM of 1663 and 1667 = LCM of 1667 and 1663

Related Least Common Multiples of 1663

Related Least Common Multiples of 1667

Frequently Asked Questions on LCM of 1663 and 1667

1. What is the LCM of 1663 and 1667?

Answer: LCM of 1663 and 1667 is 2772221.

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 1667?

Answer: Factors of 1667 are 1, 1667. There are 2 integers that are factors of 1667. The greatest factor of 1667 is 1667.

4. How to Find the LCM of 1663 and 1667?

Answer:

Least Common Multiple of 1663 and 1667 = 2772221

Step 1: Find the prime factorization of 1663

1663 = 1663

Step 2: Find the prime factorization of 1667

1667 = 1667

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

LCM = 2772221 = 1663 x 1667

Step 4: Therefore, the least common multiple of 1663 and 1667 is 2772221.