Least Common Multiple of 1466 and 1472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1466 and 1472 the smallest integer that is 1078976 that is divisible by both numbers.

Least Common Multiple (LCM) of 1466 and 1472 is 1078976.

LCM(1466,1472) = 1078976

LCM of 1466 and 1472

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

LCM of:
and

Least Common Multiple of 1466 and 1472

LCM of 1466 and 1472 is 1078976

Least common multiple can be found by multiplying the highest exponent prime factors of 1466 and 1472. First we will calculate the prime factors of 1466 and 1472.

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

Prime Factorization of 1472


2 1472
2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 1472 are 2,23. Prime factorization of 1472 in exponential form is:

1472 = 26×231

Now multiplying the highest exponent prime factors to calculate the LCM of 1466 and 1472.

LCM(1466,1472) = 26×231×7331
LCM(1466,1472) = 1078976

Factors of 1466

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

1, 2, 733, 1466

Factors of 1472

List of positive integer factors of 1472 that divides 1472 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472

Least Common Multiple of 1466 and 1472 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1466 and 1472, than apply into the LCM equation.

GCF(1466,1472) = 2
LCM(1466,1472) = ( 1466 × 1472) / 2
LCM(1466,1472) = 2157952 / 2
LCM(1466,1472) = 1078976

Properties of LCM 1466 and 1472

(i) The LCM of 1472 and 1466 is associative

LCM of 1466 and 1472 = LCM of 1472 and 1466

Related Least Common Multiples of 1466

Related Least Common Multiples of 1472

Frequently Asked Questions on LCM of 1466 and 1472

1. What is the LCM of 1466 and 1472?

Answer: LCM of 1466 and 1472 is 1078976.

2. 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.

3. What are the Factors of 1472?

Answer: Factors of 1472 are 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 184, 368, 736, 1472. There are 14 integers that are factors of 1472. The greatest factor of 1472 is 1472.

4. How to Find the LCM of 1466 and 1472?

Answer:

Least Common Multiple of 1466 and 1472 = 1078976

Step 1: Find the prime factorization of 1466

1466 = 2 x 733

Step 2: Find the prime factorization of 1472

1472 = 2 x 2 x 2 x 2 x 2 x 2 x 23

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

LCM = 1078976 = 2 x 2 x 2 x 2 x 2 x 2 x 23 x 733

Step 4: Therefore, the least common multiple of 1466 and 1472 is 1078976.