Least Common Multiple of 1452 and 1457

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 1457 the smallest integer that is 2115564 that is divisible by both numbers.

Least Common Multiple (LCM) of 1452 and 1457 is 2115564.

LCM(1452,1457) = 2115564

LCM of 1452 and 1457

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

LCM of:
and

Least Common Multiple of 1452 and 1457

LCM of 1452 and 1457 is 2115564

Least common multiple can be found by multiplying the highest exponent prime factors of 1452 and 1457. First we will calculate the prime factors of 1452 and 1457.

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 1457


31 1457
47 47
1

Prime factors of 1457 are 31,47. Prime factorization of 1457 in exponential form is:

1457 = 311×471

Now multiplying the highest exponent prime factors to calculate the LCM of 1452 and 1457.

LCM(1452,1457) = 22×31×112×311×471
LCM(1452,1457) = 2115564

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 1457

List of positive integer factors of 1457 that divides 1457 without a remainder.

1, 31, 47, 1457

Least Common Multiple of 1452 and 1457 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 1457, than apply into the LCM equation.

GCF(1452,1457) = 1
LCM(1452,1457) = ( 1452 × 1457) / 1
LCM(1452,1457) = 2115564 / 1
LCM(1452,1457) = 2115564

Properties of LCM 1452 and 1457

(i) The LCM of 1457 and 1452 is associative

LCM of 1452 and 1457 = LCM of 1457 and 1452

Related Least Common Multiples of 1452

Related Least Common Multiples of 1457

Frequently Asked Questions on LCM of 1452 and 1457

1. What is the LCM of 1452 and 1457?

Answer: LCM of 1452 and 1457 is 2115564.

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 1457?

Answer: Factors of 1457 are 1, 31, 47, 1457. There are 4 integers that are factors of 1457. The greatest factor of 1457 is 1457.

4. How to Find the LCM of 1452 and 1457?

Answer:

Least Common Multiple of 1452 and 1457 = 2115564

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 1457

1457 = 31 x 47

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

LCM = 2115564 = 2 x 2 x 3 x 11 x 11 x 31 x 47

Step 4: Therefore, the least common multiple of 1452 and 1457 is 2115564.