Least Common Multiple of 1452 and 1459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1452 and 1459 the smallest integer that is 2118468 that is divisible by both numbers.

Least Common Multiple (LCM) of 1452 and 1459 is 2118468.

LCM(1452,1459) = 2118468

LCM of 1452 and 1459

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

LCM of:
and

Least Common Multiple of 1452 and 1459

LCM of 1452 and 1459 is 2118468

Least common multiple can be found by multiplying the highest exponent prime factors of 1452 and 1459. First we will calculate the prime factors of 1452 and 1459.

Prime Factorization of 1452


2 1452
2 726
3 363
11 121
11 11
1

Prime factors of 1452 are 2, 3,11. Prime factorization of 1452 in exponential form is:

1452 = 22×31×112

Prime Factorization of 1459


1459 1459
1

Prime factors of 1459 are 1459. Prime factorization of 1459 in exponential form is:

1459 = 14591

Now multiplying the highest exponent prime factors to calculate the LCM of 1452 and 1459.

LCM(1452,1459) = 22×31×112×14591
LCM(1452,1459) = 2118468

Factors of 1452

List of positive integer factors of 1452 that divides 1452 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, 1452

Factors of 1459

List of positive integer factors of 1459 that divides 1459 without a remainder.

1, 1459

Least Common Multiple of 1452 and 1459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1452 and 1459, than apply into the LCM equation.

GCF(1452,1459) = 1
LCM(1452,1459) = ( 1452 × 1459) / 1
LCM(1452,1459) = 2118468 / 1
LCM(1452,1459) = 2118468

Properties of LCM 1452 and 1459

(i) The LCM of 1459 and 1452 is associative

LCM of 1452 and 1459 = LCM of 1459 and 1452

Related Least Common Multiples of 1452

Related Least Common Multiples of 1459

Frequently Asked Questions on LCM of 1452 and 1459

1. What is the LCM of 1452 and 1459?

Answer: LCM of 1452 and 1459 is 2118468.

2. What are the Factors of 1452?

Answer: Factors of 1452 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 121, 132, 242, 363, 484, 726, 1452. There are 18 integers that are factors of 1452. The greatest factor of 1452 is 1452.

3. What are the Factors of 1459?

Answer: Factors of 1459 are 1, 1459. There are 2 integers that are factors of 1459. The greatest factor of 1459 is 1459.

4. How to Find the LCM of 1452 and 1459?

Answer:

Least Common Multiple of 1452 and 1459 = 2118468

Step 1: Find the prime factorization of 1452

1452 = 2 x 2 x 3 x 11 x 11

Step 2: Find the prime factorization of 1459

1459 = 1459

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

LCM = 2118468 = 2 x 2 x 3 x 11 x 11 x 1459

Step 4: Therefore, the least common multiple of 1452 and 1459 is 2118468.