Least Common Multiple of 1658 and 1661

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 1661 the smallest integer that is 2753938 that is divisible by both numbers.

Least Common Multiple (LCM) of 1658 and 1661 is 2753938.

LCM(1658,1661) = 2753938

LCM of 1658 and 1661

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

LCM of:
and

Least Common Multiple of 1658 and 1661

LCM of 1658 and 1661 is 2753938

Least common multiple can be found by multiplying the highest exponent prime factors of 1658 and 1661. First we will calculate the prime factors of 1658 and 1661.

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 1661


11 1661
151 151
1

Prime factors of 1661 are 11,151. Prime factorization of 1661 in exponential form is:

1661 = 111×1511

Now multiplying the highest exponent prime factors to calculate the LCM of 1658 and 1661.

LCM(1658,1661) = 21×111×1511×8291
LCM(1658,1661) = 2753938

Factors of 1658

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

1, 2, 829, 1658

Factors of 1661

List of positive integer factors of 1661 that divides 1661 without a remainder.

1, 11, 151, 1661

Least Common Multiple of 1658 and 1661 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 1661, than apply into the LCM equation.

GCF(1658,1661) = 1
LCM(1658,1661) = ( 1658 × 1661) / 1
LCM(1658,1661) = 2753938 / 1
LCM(1658,1661) = 2753938

Properties of LCM 1658 and 1661

(i) The LCM of 1661 and 1658 is associative

LCM of 1658 and 1661 = LCM of 1661 and 1658

Related Least Common Multiples of 1658

Related Least Common Multiples of 1661

Frequently Asked Questions on LCM of 1658 and 1661

1. What is the LCM of 1658 and 1661?

Answer: LCM of 1658 and 1661 is 2753938.

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 1661?

Answer: Factors of 1661 are 1, 11, 151, 1661. There are 4 integers that are factors of 1661. The greatest factor of 1661 is 1661.

4. How to Find the LCM of 1658 and 1661?

Answer:

Least Common Multiple of 1658 and 1661 = 2753938

Step 1: Find the prime factorization of 1658

1658 = 2 x 829

Step 2: Find the prime factorization of 1661

1661 = 11 x 151

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

LCM = 2753938 = 2 x 11 x 151 x 829

Step 4: Therefore, the least common multiple of 1658 and 1661 is 2753938.