Least Common Multiple of 1656 and 1663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1656 and 1663 the smallest integer that is 2753928 that is divisible by both numbers.

Least Common Multiple (LCM) of 1656 and 1663 is 2753928.

LCM(1656,1663) = 2753928

LCM of 1656 and 1663

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

LCM of:
and

Least Common Multiple of 1656 and 1663

LCM of 1656 and 1663 is 2753928

Least common multiple can be found by multiplying the highest exponent prime factors of 1656 and 1663. First we will calculate the prime factors of 1656 and 1663.

Prime Factorization of 1656


2 1656
2 828
2 414
3 207
3 69
23 23
1

Prime factors of 1656 are 2, 3,23. Prime factorization of 1656 in exponential form is:

1656 = 23×32×231

Prime Factorization of 1663


1663 1663
1

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

1663 = 16631

Now multiplying the highest exponent prime factors to calculate the LCM of 1656 and 1663.

LCM(1656,1663) = 23×32×231×16631
LCM(1656,1663) = 2753928

Factors of 1656

List of positive integer factors of 1656 that divides 1656 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 69, 72, 92, 138, 184, 207, 276, 414, 552, 828, 1656

Factors of 1663

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

1, 1663

Least Common Multiple of 1656 and 1663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1656 and 1663, than apply into the LCM equation.

GCF(1656,1663) = 1
LCM(1656,1663) = ( 1656 × 1663) / 1
LCM(1656,1663) = 2753928 / 1
LCM(1656,1663) = 2753928

Properties of LCM 1656 and 1663

(i) The LCM of 1663 and 1656 is associative

LCM of 1656 and 1663 = LCM of 1663 and 1656

Related Least Common Multiples of 1656

Related Least Common Multiples of 1663

Frequently Asked Questions on LCM of 1656 and 1663

1. What is the LCM of 1656 and 1663?

Answer: LCM of 1656 and 1663 is 2753928.

2. What are the Factors of 1656?

Answer: Factors of 1656 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 23, 24, 36, 46, 69, 72, 92, 138, 184, 207, 276, 414, 552, 828, 1656. There are 24 integers that are factors of 1656. The greatest factor of 1656 is 1656.

3. 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.

4. How to Find the LCM of 1656 and 1663?

Answer:

Least Common Multiple of 1656 and 1663 = 2753928

Step 1: Find the prime factorization of 1656

1656 = 2 x 2 x 2 x 3 x 3 x 23

Step 2: Find the prime factorization of 1663

1663 = 1663

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

LCM = 2753928 = 2 x 2 x 2 x 3 x 3 x 23 x 1663

Step 4: Therefore, the least common multiple of 1656 and 1663 is 2753928.