Least Common Multiple of 1658 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 1658 and 1663 the smallest integer that is 2757254 that is divisible by both numbers.

Least Common Multiple (LCM) of 1658 and 1663 is 2757254.

LCM(1658,1663) = 2757254

LCM of 1658 and 1663

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

LCM of:
and

Least Common Multiple of 1658 and 1663

LCM of 1658 and 1663 is 2757254

Least common multiple can be found by multiplying the highest exponent prime factors of 1658 and 1663. First we will calculate the prime factors of 1658 and 1663.

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 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 1658 and 1663.

LCM(1658,1663) = 21×8291×16631
LCM(1658,1663) = 2757254

Factors of 1658

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

1, 2, 829, 1658

Factors of 1663

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

1, 1663

Least Common Multiple of 1658 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 1658 and 1663, than apply into the LCM equation.

GCF(1658,1663) = 1
LCM(1658,1663) = ( 1658 × 1663) / 1
LCM(1658,1663) = 2757254 / 1
LCM(1658,1663) = 2757254

Properties of LCM 1658 and 1663

(i) The LCM of 1663 and 1658 is associative

LCM of 1658 and 1663 = LCM of 1663 and 1658

Related Least Common Multiples of 1658

Related Least Common Multiples of 1663

Frequently Asked Questions on LCM of 1658 and 1663

1. What is the LCM of 1658 and 1663?

Answer: LCM of 1658 and 1663 is 2757254.

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 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 1658 and 1663?

Answer:

Least Common Multiple of 1658 and 1663 = 2757254

Step 1: Find the prime factorization of 1658

1658 = 2 x 829

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 = 2757254 = 2 x 829 x 1663

Step 4: Therefore, the least common multiple of 1658 and 1663 is 2757254.