Least Common Multiple of 7460 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 7460 and 7466 the smallest integer that is 27848180 that is divisible by both numbers.

Least Common Multiple (LCM) of 7460 and 7466 is 27848180.

LCM(7460,7466) = 27848180

LCM of 7460 and 7466

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

LCM of:
and

Least Common Multiple of 7460 and 7466

LCM of 7460 and 7466 is 27848180

Least common multiple can be found by multiplying the highest exponent prime factors of 7460 and 7466. First we will calculate the prime factors of 7460 and 7466.

Prime Factorization of 7460


2 7460
2 3730
5 1865
373 373
1

Prime factors of 7460 are 2, 5,373. Prime factorization of 7460 in exponential form is:

7460 = 22×51×3731

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 7460 and 7466.

LCM(7460,7466) = 22×51×3731×37331
LCM(7460,7466) = 27848180

Factors of 7460

List of positive integer factors of 7460 that divides 7460 without a remainder.

1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730, 7460

Factors of 7466

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

1, 2, 3733, 7466

Least Common Multiple of 7460 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 7460 and 7466, than apply into the LCM equation.

GCF(7460,7466) = 2
LCM(7460,7466) = ( 7460 × 7466) / 2
LCM(7460,7466) = 55696360 / 2
LCM(7460,7466) = 27848180

Properties of LCM 7460 and 7466

(i) The LCM of 7466 and 7460 is associative

LCM of 7460 and 7466 = LCM of 7466 and 7460

Related Least Common Multiples of 7460

Related Least Common Multiples of 7466

Frequently Asked Questions on LCM of 7460 and 7466

1. What is the LCM of 7460 and 7466?

Answer: LCM of 7460 and 7466 is 27848180.

2. What are the Factors of 7460?

Answer: Factors of 7460 are 1, 2, 4, 5, 10, 20, 373, 746, 1492, 1865, 3730, 7460. There are 12 integers that are factors of 7460. The greatest factor of 7460 is 7460.

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 7460 and 7466?

Answer:

Least Common Multiple of 7460 and 7466 = 27848180

Step 1: Find the prime factorization of 7460

7460 = 2 x 2 x 5 x 373

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 = 27848180 = 2 x 2 x 5 x 373 x 3733

Step 4: Therefore, the least common multiple of 7460 and 7466 is 27848180.