Least Common Multiple of 1466 and 1473

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 1473 the smallest integer that is 2159418 that is divisible by both numbers.

Least Common Multiple (LCM) of 1466 and 1473 is 2159418.

LCM(1466,1473) = 2159418

LCM of 1466 and 1473

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

LCM of:
and

Least Common Multiple of 1466 and 1473

LCM of 1466 and 1473 is 2159418

Least common multiple can be found by multiplying the highest exponent prime factors of 1466 and 1473. First we will calculate the prime factors of 1466 and 1473.

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 1473


3 1473
491 491
1

Prime factors of 1473 are 3,491. Prime factorization of 1473 in exponential form is:

1473 = 31×4911

Now multiplying the highest exponent prime factors to calculate the LCM of 1466 and 1473.

LCM(1466,1473) = 21×31×4911×7331
LCM(1466,1473) = 2159418

Factors of 1466

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

1, 2, 733, 1466

Factors of 1473

List of positive integer factors of 1473 that divides 1473 without a remainder.

1, 3, 491, 1473

Least Common Multiple of 1466 and 1473 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 1473, than apply into the LCM equation.

GCF(1466,1473) = 1
LCM(1466,1473) = ( 1466 × 1473) / 1
LCM(1466,1473) = 2159418 / 1
LCM(1466,1473) = 2159418

Properties of LCM 1466 and 1473

(i) The LCM of 1473 and 1466 is associative

LCM of 1466 and 1473 = LCM of 1473 and 1466

Related Least Common Multiples of 1466

Related Least Common Multiples of 1473

Frequently Asked Questions on LCM of 1466 and 1473

1. What is the LCM of 1466 and 1473?

Answer: LCM of 1466 and 1473 is 2159418.

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 1473?

Answer: Factors of 1473 are 1, 3, 491, 1473. There are 4 integers that are factors of 1473. The greatest factor of 1473 is 1473.

4. How to Find the LCM of 1466 and 1473?

Answer:

Least Common Multiple of 1466 and 1473 = 2159418

Step 1: Find the prime factorization of 1466

1466 = 2 x 733

Step 2: Find the prime factorization of 1473

1473 = 3 x 491

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

LCM = 2159418 = 2 x 3 x 491 x 733

Step 4: Therefore, the least common multiple of 1466 and 1473 is 2159418.