Least Common Multiple of 7466 and 7473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7466 and 7473 the smallest integer that is 55793418 that is divisible by both numbers.

Least Common Multiple (LCM) of 7466 and 7473 is 55793418.

LCM(7466,7473) = 55793418

LCM of 7466 and 7473

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

LCM of:
and

Least Common Multiple of 7466 and 7473

LCM of 7466 and 7473 is 55793418

Least common multiple can be found by multiplying the highest exponent prime factors of 7466 and 7473. First we will calculate the prime factors of 7466 and 7473.

Prime Factorization of 7466


2 7466
3733 3733
1

Prime factors of 7466 are 2,3733. Prime factorization of 7466 in exponential form is:

7466 = 21×37331

Prime Factorization of 7473


3 7473
47 2491
53 53
1

Prime factors of 7473 are 3, 47,53. Prime factorization of 7473 in exponential form is:

7473 = 31×471×531

Now multiplying the highest exponent prime factors to calculate the LCM of 7466 and 7473.

LCM(7466,7473) = 21×31×471×531×37331
LCM(7466,7473) = 55793418

Factors of 7466

List of positive integer factors of 7466 that divides 7466 without a remainder.

1, 2, 3733, 7466

Factors of 7473

List of positive integer factors of 7473 that divides 7473 without a remainder.

1, 3, 47, 53, 141, 159, 2491, 7473

Least Common Multiple of 7466 and 7473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7466 and 7473, than apply into the LCM equation.

GCF(7466,7473) = 1
LCM(7466,7473) = ( 7466 × 7473) / 1
LCM(7466,7473) = 55793418 / 1
LCM(7466,7473) = 55793418

Properties of LCM 7466 and 7473

(i) The LCM of 7473 and 7466 is associative

LCM of 7466 and 7473 = LCM of 7473 and 7466

Related Least Common Multiples of 7466

Related Least Common Multiples of 7473

Frequently Asked Questions on LCM of 7466 and 7473

1. What is the LCM of 7466 and 7473?

Answer: LCM of 7466 and 7473 is 55793418.

2. What are the Factors of 7466?

Answer: Factors of 7466 are 1, 2, 3733, 7466. There are 4 integers that are factors of 7466. The greatest factor of 7466 is 7466.

3. What are the Factors of 7473?

Answer: Factors of 7473 are 1, 3, 47, 53, 141, 159, 2491, 7473. There are 8 integers that are factors of 7473. The greatest factor of 7473 is 7473.

4. How to Find the LCM of 7466 and 7473?

Answer:

Least Common Multiple of 7466 and 7473 = 55793418

Step 1: Find the prime factorization of 7466

7466 = 2 x 3733

Step 2: Find the prime factorization of 7473

7473 = 3 x 47 x 53

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

LCM = 55793418 = 2 x 3 x 47 x 53 x 3733

Step 4: Therefore, the least common multiple of 7466 and 7473 is 55793418.