Least Common Multiple of 1660 and 1666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1660 and 1666 the smallest integer that is 1382780 that is divisible by both numbers.

Least Common Multiple (LCM) of 1660 and 1666 is 1382780.

LCM(1660,1666) = 1382780

LCM of 1660 and 1666

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

LCM of:
and

Least Common Multiple of 1660 and 1666

LCM of 1660 and 1666 is 1382780

Least common multiple can be found by multiplying the highest exponent prime factors of 1660 and 1666. First we will calculate the prime factors of 1660 and 1666.

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

Prime Factorization of 1666


2 1666
7 833
7 119
17 17
1

Prime factors of 1666 are 2, 7,17. Prime factorization of 1666 in exponential form is:

1666 = 21×72×171

Now multiplying the highest exponent prime factors to calculate the LCM of 1660 and 1666.

LCM(1660,1666) = 22×51×72×171×831
LCM(1660,1666) = 1382780

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

Factors of 1666

List of positive integer factors of 1666 that divides 1666 without a remainder.

1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 833, 1666

Least Common Multiple of 1660 and 1666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1660 and 1666, than apply into the LCM equation.

GCF(1660,1666) = 2
LCM(1660,1666) = ( 1660 × 1666) / 2
LCM(1660,1666) = 2765560 / 2
LCM(1660,1666) = 1382780

Properties of LCM 1660 and 1666

(i) The LCM of 1666 and 1660 is associative

LCM of 1660 and 1666 = LCM of 1666 and 1660

Related Least Common Multiples of 1660

Related Least Common Multiples of 1666

Frequently Asked Questions on LCM of 1660 and 1666

1. What is the LCM of 1660 and 1666?

Answer: LCM of 1660 and 1666 is 1382780.

2. 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.

3. What are the Factors of 1666?

Answer: Factors of 1666 are 1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 833, 1666. There are 12 integers that are factors of 1666. The greatest factor of 1666 is 1666.

4. How to Find the LCM of 1660 and 1666?

Answer:

Least Common Multiple of 1660 and 1666 = 1382780

Step 1: Find the prime factorization of 1660

1660 = 2 x 2 x 5 x 83

Step 2: Find the prime factorization of 1666

1666 = 2 x 7 x 7 x 17

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

LCM = 1382780 = 2 x 2 x 5 x 7 x 7 x 17 x 83

Step 4: Therefore, the least common multiple of 1660 and 1666 is 1382780.