Least Common Multiple of 1658 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 1658 and 1666 the smallest integer that is 1381114 that is divisible by both numbers.

Least Common Multiple (LCM) of 1658 and 1666 is 1381114.

LCM(1658,1666) = 1381114

LCM of 1658 and 1666

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

LCM of:
and

Least Common Multiple of 1658 and 1666

LCM of 1658 and 1666 is 1381114

Least common multiple can be found by multiplying the highest exponent prime factors of 1658 and 1666. First we will calculate the prime factors of 1658 and 1666.

Prime Factorization of 1658


2 1658
829 829
1

Prime factors of 1658 are 2,829. Prime factorization of 1658 in exponential form is:

1658 = 21×8291

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 1658 and 1666.

LCM(1658,1666) = 21×72×171×8291
LCM(1658,1666) = 1381114

Factors of 1658

List of positive integer factors of 1658 that divides 1658 without a remainder.

1, 2, 829, 1658

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 1658 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 1658 and 1666, than apply into the LCM equation.

GCF(1658,1666) = 2
LCM(1658,1666) = ( 1658 × 1666) / 2
LCM(1658,1666) = 2762228 / 2
LCM(1658,1666) = 1381114

Properties of LCM 1658 and 1666

(i) The LCM of 1666 and 1658 is associative

LCM of 1658 and 1666 = LCM of 1666 and 1658

Related Least Common Multiples of 1658

Related Least Common Multiples of 1666

Frequently Asked Questions on LCM of 1658 and 1666

1. What is the LCM of 1658 and 1666?

Answer: LCM of 1658 and 1666 is 1381114.

2. What are the Factors of 1658?

Answer: Factors of 1658 are 1, 2, 829, 1658. There are 4 integers that are factors of 1658. The greatest factor of 1658 is 1658.

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 1658 and 1666?

Answer:

Least Common Multiple of 1658 and 1666 = 1381114

Step 1: Find the prime factorization of 1658

1658 = 2 x 829

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 = 1381114 = 2 x 7 x 7 x 17 x 829

Step 4: Therefore, the least common multiple of 1658 and 1666 is 1381114.