Least Common Multiple of 1460 and 1466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1460 and 1466 the smallest integer that is 1070180 that is divisible by both numbers.

Least Common Multiple (LCM) of 1460 and 1466 is 1070180.

LCM(1460,1466) = 1070180

LCM of 1460 and 1466

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

LCM of:
and

Least Common Multiple of 1460 and 1466

LCM of 1460 and 1466 is 1070180

Least common multiple can be found by multiplying the highest exponent prime factors of 1460 and 1466. First we will calculate the prime factors of 1460 and 1466.

Prime Factorization of 1460


2 1460
2 730
5 365
73 73
1

Prime factors of 1460 are 2, 5,73. Prime factorization of 1460 in exponential form is:

1460 = 22×51×731

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1460 and 1466.

LCM(1460,1466) = 22×51×731×7331
LCM(1460,1466) = 1070180

Factors of 1460

List of positive integer factors of 1460 that divides 1460 without a remainder.

1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460

Factors of 1466

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

1, 2, 733, 1466

Least Common Multiple of 1460 and 1466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1460 and 1466, than apply into the LCM equation.

GCF(1460,1466) = 2
LCM(1460,1466) = ( 1460 × 1466) / 2
LCM(1460,1466) = 2140360 / 2
LCM(1460,1466) = 1070180

Properties of LCM 1460 and 1466

(i) The LCM of 1466 and 1460 is associative

LCM of 1460 and 1466 = LCM of 1466 and 1460

Related Least Common Multiples of 1460

Related Least Common Multiples of 1466

Frequently Asked Questions on LCM of 1460 and 1466

1. What is the LCM of 1460 and 1466?

Answer: LCM of 1460 and 1466 is 1070180.

2. What are the Factors of 1460?

Answer: Factors of 1460 are 1, 2, 4, 5, 10, 20, 73, 146, 292, 365, 730, 1460. There are 12 integers that are factors of 1460. The greatest factor of 1460 is 1460.

3. 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.

4. How to Find the LCM of 1460 and 1466?

Answer:

Least Common Multiple of 1460 and 1466 = 1070180

Step 1: Find the prime factorization of 1460

1460 = 2 x 2 x 5 x 73

Step 2: Find the prime factorization of 1466

1466 = 2 x 733

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

LCM = 1070180 = 2 x 2 x 5 x 73 x 733

Step 4: Therefore, the least common multiple of 1460 and 1466 is 1070180.