Least Common Multiple of 1466 and 1471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1466 and 1471 the smallest integer that is 2156486 that is divisible by both numbers.

Least Common Multiple (LCM) of 1466 and 1471 is 2156486.

LCM(1466,1471) = 2156486

LCM of 1466 and 1471

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

LCM of:
and

Least Common Multiple of 1466 and 1471

LCM of 1466 and 1471 is 2156486

Least common multiple can be found by multiplying the highest exponent prime factors of 1466 and 1471. First we will calculate the prime factors of 1466 and 1471.

Prime Factorization of 1466


2 1466
733 733
1

Prime factors of 1466 are 2,733. Prime factorization of 1466 in exponential form is:

1466 = 21×7331

Prime Factorization of 1471


1471 1471
1

Prime factors of 1471 are 1471. Prime factorization of 1471 in exponential form is:

1471 = 14711

Now multiplying the highest exponent prime factors to calculate the LCM of 1466 and 1471.

LCM(1466,1471) = 21×7331×14711
LCM(1466,1471) = 2156486

Factors of 1466

List of positive integer factors of 1466 that divides 1466 without a remainder.

1, 2, 733, 1466

Factors of 1471

List of positive integer factors of 1471 that divides 1471 without a remainder.

1, 1471

Least Common Multiple of 1466 and 1471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1466 and 1471, than apply into the LCM equation.

GCF(1466,1471) = 1
LCM(1466,1471) = ( 1466 × 1471) / 1
LCM(1466,1471) = 2156486 / 1
LCM(1466,1471) = 2156486

Properties of LCM 1466 and 1471

(i) The LCM of 1471 and 1466 is associative

LCM of 1466 and 1471 = LCM of 1471 and 1466

Related Least Common Multiples of 1466

Related Least Common Multiples of 1471

Frequently Asked Questions on LCM of 1466 and 1471

1. What is the LCM of 1466 and 1471?

Answer: LCM of 1466 and 1471 is 2156486.

2. What are the Factors of 1466?

Answer: Factors of 1466 are 1, 2, 733, 1466. There are 4 integers that are factors of 1466. The greatest factor of 1466 is 1466.

3. What are the Factors of 1471?

Answer: Factors of 1471 are 1, 1471. There are 2 integers that are factors of 1471. The greatest factor of 1471 is 1471.

4. How to Find the LCM of 1466 and 1471?

Answer:

Least Common Multiple of 1466 and 1471 = 2156486

Step 1: Find the prime factorization of 1466

1466 = 2 x 733

Step 2: Find the prime factorization of 1471

1471 = 1471

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

LCM = 2156486 = 2 x 733 x 1471

Step 4: Therefore, the least common multiple of 1466 and 1471 is 2156486.