Least Common Multiple of 1461 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 1461 and 1466 the smallest integer that is 2141826 that is divisible by both numbers.

Least Common Multiple (LCM) of 1461 and 1466 is 2141826.

LCM(1461,1466) = 2141826

LCM of 1461 and 1466

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

LCM of:
and

Least Common Multiple of 1461 and 1466

LCM of 1461 and 1466 is 2141826

Least common multiple can be found by multiplying the highest exponent prime factors of 1461 and 1466. First we will calculate the prime factors of 1461 and 1466.

Prime Factorization of 1461


3 1461
487 487
1

Prime factors of 1461 are 3,487. Prime factorization of 1461 in exponential form is:

1461 = 31×4871

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 1461 and 1466.

LCM(1461,1466) = 21×31×4871×7331
LCM(1461,1466) = 2141826

Factors of 1461

List of positive integer factors of 1461 that divides 1461 without a remainder.

1, 3, 487, 1461

Factors of 1466

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

1, 2, 733, 1466

Least Common Multiple of 1461 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 1461 and 1466, than apply into the LCM equation.

GCF(1461,1466) = 1
LCM(1461,1466) = ( 1461 × 1466) / 1
LCM(1461,1466) = 2141826 / 1
LCM(1461,1466) = 2141826

Properties of LCM 1461 and 1466

(i) The LCM of 1466 and 1461 is associative

LCM of 1461 and 1466 = LCM of 1466 and 1461

Related Least Common Multiples of 1461

Related Least Common Multiples of 1466

Frequently Asked Questions on LCM of 1461 and 1466

1. What is the LCM of 1461 and 1466?

Answer: LCM of 1461 and 1466 is 2141826.

2. What are the Factors of 1461?

Answer: Factors of 1461 are 1, 3, 487, 1461. There are 4 integers that are factors of 1461. The greatest factor of 1461 is 1461.

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 1461 and 1466?

Answer:

Least Common Multiple of 1461 and 1466 = 2141826

Step 1: Find the prime factorization of 1461

1461 = 3 x 487

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 = 2141826 = 2 x 3 x 487 x 733

Step 4: Therefore, the least common multiple of 1461 and 1466 is 2141826.