Least Common Multiple of 7462 and 7466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7462 and 7466 the smallest integer that is 27855646 that is divisible by both numbers.

Least Common Multiple (LCM) of 7462 and 7466 is 27855646.

LCM(7462,7466) = 27855646

LCM of 7462 and 7466

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

LCM of:
and

Least Common Multiple of 7462 and 7466

LCM of 7462 and 7466 is 27855646

Least common multiple can be found by multiplying the highest exponent prime factors of 7462 and 7466. First we will calculate the prime factors of 7462 and 7466.

Prime Factorization of 7462


2 7462
7 3731
13 533
41 41
1

Prime factors of 7462 are 2, 7, 13,41. Prime factorization of 7462 in exponential form is:

7462 = 21×71×131×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7462 and 7466.

LCM(7462,7466) = 21×71×131×411×37331
LCM(7462,7466) = 27855646

Factors of 7462

List of positive integer factors of 7462 that divides 7462 without a remainder.

1, 2, 7, 13, 14, 26, 41, 82, 91, 182, 287, 533, 574, 1066, 3731, 7462

Factors of 7466

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

1, 2, 3733, 7466

Least Common Multiple of 7462 and 7466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7462 and 7466, than apply into the LCM equation.

GCF(7462,7466) = 2
LCM(7462,7466) = ( 7462 × 7466) / 2
LCM(7462,7466) = 55711292 / 2
LCM(7462,7466) = 27855646

Properties of LCM 7462 and 7466

(i) The LCM of 7466 and 7462 is associative

LCM of 7462 and 7466 = LCM of 7466 and 7462

Related Least Common Multiples of 7462

Related Least Common Multiples of 7466

Frequently Asked Questions on LCM of 7462 and 7466

1. What is the LCM of 7462 and 7466?

Answer: LCM of 7462 and 7466 is 27855646.

2. What are the Factors of 7462?

Answer: Factors of 7462 are 1, 2, 7, 13, 14, 26, 41, 82, 91, 182, 287, 533, 574, 1066, 3731, 7462. There are 16 integers that are factors of 7462. The greatest factor of 7462 is 7462.

3. 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.

4. How to Find the LCM of 7462 and 7466?

Answer:

Least Common Multiple of 7462 and 7466 = 27855646

Step 1: Find the prime factorization of 7462

7462 = 2 x 7 x 13 x 41

Step 2: Find the prime factorization of 7466

7466 = 2 x 3733

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

LCM = 27855646 = 2 x 7 x 13 x 41 x 3733

Step 4: Therefore, the least common multiple of 7462 and 7466 is 27855646.