Least Common Multiple of 1656 and 1660

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 1660 the smallest integer that is 687240 that is divisible by both numbers.

Least Common Multiple (LCM) of 1656 and 1660 is 687240.

LCM(1656,1660) = 687240

LCM of 1656 and 1660

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

LCM of:
and

Least Common Multiple of 1656 and 1660

LCM of 1656 and 1660 is 687240

Least common multiple can be found by multiplying the highest exponent prime factors of 1656 and 1660. First we will calculate the prime factors of 1656 and 1660.

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 1660


2 1660
2 830
5 415
83 83
1

Prime factors of 1660 are 2, 5,83. Prime factorization of 1660 in exponential form is:

1660 = 22×51×831

Now multiplying the highest exponent prime factors to calculate the LCM of 1656 and 1660.

LCM(1656,1660) = 23×32×51×231×831
LCM(1656,1660) = 687240

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 1660

List of positive integer factors of 1660 that divides 1660 without a remainder.

1, 2, 4, 5, 10, 20, 83, 166, 332, 415, 830, 1660

Least Common Multiple of 1656 and 1660 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 1660, than apply into the LCM equation.

GCF(1656,1660) = 4
LCM(1656,1660) = ( 1656 × 1660) / 4
LCM(1656,1660) = 2748960 / 4
LCM(1656,1660) = 687240

Properties of LCM 1656 and 1660

(i) The LCM of 1660 and 1656 is associative

LCM of 1656 and 1660 = LCM of 1660 and 1656

Related Least Common Multiples of 1656

Related Least Common Multiples of 1660

Frequently Asked Questions on LCM of 1656 and 1660

1. What is the LCM of 1656 and 1660?

Answer: LCM of 1656 and 1660 is 687240.

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 1660?

Answer: Factors of 1660 are 1, 2, 4, 5, 10, 20, 83, 166, 332, 415, 830, 1660. There are 12 integers that are factors of 1660. The greatest factor of 1660 is 1660.

4. How to Find the LCM of 1656 and 1660?

Answer:

Least Common Multiple of 1656 and 1660 = 687240

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 1660

1660 = 2 x 2 x 5 x 83

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

LCM = 687240 = 2 x 2 x 2 x 3 x 3 x 5 x 23 x 83

Step 4: Therefore, the least common multiple of 1656 and 1660 is 687240.