Least Common Multiple of 1451 and 1452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 1451 and 1452 the smallest integer that is 2106852 that is divisible by both numbers.

Least Common Multiple (LCM) of 1451 and 1452 is 2106852.

LCM(1451,1452) = 2106852

LCM of 1451 and 1452

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

LCM of:
and

Least Common Multiple of 1451 and 1452

LCM of 1451 and 1452 is 2106852

Least common multiple can be found by multiplying the highest exponent prime factors of 1451 and 1452. First we will calculate the prime factors of 1451 and 1452.

Prime Factorization of 1451


1451 1451
1

Prime factors of 1451 are 1451. Prime factorization of 1451 in exponential form is:

1451 = 14511

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

Now multiplying the highest exponent prime factors to calculate the LCM of 1451 and 1452.

LCM(1451,1452) = 22×31×112×14511
LCM(1451,1452) = 2106852

Factors of 1451

List of positive integer factors of 1451 that divides 1451 without a remainder.

1, 1451

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

Least Common Multiple of 1451 and 1452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1451 and 1452, than apply into the LCM equation.

GCF(1451,1452) = 1
LCM(1451,1452) = ( 1451 × 1452) / 1
LCM(1451,1452) = 2106852 / 1
LCM(1451,1452) = 2106852

Properties of LCM 1451 and 1452

(i) The LCM of 1452 and 1451 is associative

LCM of 1451 and 1452 = LCM of 1452 and 1451

Related Least Common Multiples of 1451

Related Least Common Multiples of 1452

Frequently Asked Questions on LCM of 1451 and 1452

1. What is the LCM of 1451 and 1452?

Answer: LCM of 1451 and 1452 is 2106852.

2. What are the Factors of 1451?

Answer: Factors of 1451 are 1, 1451. There are 2 integers that are factors of 1451. The greatest factor of 1451 is 1451.

3. 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.

4. How to Find the LCM of 1451 and 1452?

Answer:

Least Common Multiple of 1451 and 1452 = 2106852

Step 1: Find the prime factorization of 1451

1451 = 1451

Step 2: Find the prime factorization of 1452

1452 = 2 x 2 x 3 x 11 x 11

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

LCM = 2106852 = 2 x 2 x 3 x 11 x 11 x 1451

Step 4: Therefore, the least common multiple of 1451 and 1452 is 2106852.