Least Common Multiple of 1663 and 1668

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 1668 the smallest integer that is 2773884 that is divisible by both numbers.

Least Common Multiple (LCM) of 1663 and 1668 is 2773884.

LCM(1663,1668) = 2773884

LCM of 1663 and 1668

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

LCM of:
and

Least Common Multiple of 1663 and 1668

LCM of 1663 and 1668 is 2773884

Least common multiple can be found by multiplying the highest exponent prime factors of 1663 and 1668. First we will calculate the prime factors of 1663 and 1668.

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 1668


2 1668
2 834
3 417
139 139
1

Prime factors of 1668 are 2, 3,139. Prime factorization of 1668 in exponential form is:

1668 = 22×31×1391

Now multiplying the highest exponent prime factors to calculate the LCM of 1663 and 1668.

LCM(1663,1668) = 22×31×1391×16631
LCM(1663,1668) = 2773884

Factors of 1663

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

1, 1663

Factors of 1668

List of positive integer factors of 1668 that divides 1668 without a remainder.

1, 2, 3, 4, 6, 12, 139, 278, 417, 556, 834, 1668

Least Common Multiple of 1663 and 1668 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 1668, than apply into the LCM equation.

GCF(1663,1668) = 1
LCM(1663,1668) = ( 1663 × 1668) / 1
LCM(1663,1668) = 2773884 / 1
LCM(1663,1668) = 2773884

Properties of LCM 1663 and 1668

(i) The LCM of 1668 and 1663 is associative

LCM of 1663 and 1668 = LCM of 1668 and 1663

Related Least Common Multiples of 1663

Related Least Common Multiples of 1668

Frequently Asked Questions on LCM of 1663 and 1668

1. What is the LCM of 1663 and 1668?

Answer: LCM of 1663 and 1668 is 2773884.

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 1668?

Answer: Factors of 1668 are 1, 2, 3, 4, 6, 12, 139, 278, 417, 556, 834, 1668. There are 12 integers that are factors of 1668. The greatest factor of 1668 is 1668.

4. How to Find the LCM of 1663 and 1668?

Answer:

Least Common Multiple of 1663 and 1668 = 2773884

Step 1: Find the prime factorization of 1663

1663 = 1663

Step 2: Find the prime factorization of 1668

1668 = 2 x 2 x 3 x 139

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

LCM = 2773884 = 2 x 2 x 3 x 139 x 1663

Step 4: Therefore, the least common multiple of 1663 and 1668 is 2773884.