Least Common Multiple of 1451 and 1456

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 1456 the smallest integer that is 2112656 that is divisible by both numbers.

Least Common Multiple (LCM) of 1451 and 1456 is 2112656.

LCM(1451,1456) = 2112656

LCM of 1451 and 1456

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

LCM of:
and

Least Common Multiple of 1451 and 1456

LCM of 1451 and 1456 is 2112656

Least common multiple can be found by multiplying the highest exponent prime factors of 1451 and 1456. First we will calculate the prime factors of 1451 and 1456.

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 1456


2 1456
2 728
2 364
2 182
7 91
13 13
1

Prime factors of 1456 are 2, 7,13. Prime factorization of 1456 in exponential form is:

1456 = 24×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 1451 and 1456.

LCM(1451,1456) = 24×71×131×14511
LCM(1451,1456) = 2112656

Factors of 1451

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

1, 1451

Factors of 1456

List of positive integer factors of 1456 that divides 1456 without a remainder.

1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456

Least Common Multiple of 1451 and 1456 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 1456, than apply into the LCM equation.

GCF(1451,1456) = 1
LCM(1451,1456) = ( 1451 × 1456) / 1
LCM(1451,1456) = 2112656 / 1
LCM(1451,1456) = 2112656

Properties of LCM 1451 and 1456

(i) The LCM of 1456 and 1451 is associative

LCM of 1451 and 1456 = LCM of 1456 and 1451

Related Least Common Multiples of 1451

Related Least Common Multiples of 1456

Frequently Asked Questions on LCM of 1451 and 1456

1. What is the LCM of 1451 and 1456?

Answer: LCM of 1451 and 1456 is 2112656.

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 1456?

Answer: Factors of 1456 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 52, 56, 91, 104, 112, 182, 208, 364, 728, 1456. There are 20 integers that are factors of 1456. The greatest factor of 1456 is 1456.

4. How to Find the LCM of 1451 and 1456?

Answer:

Least Common Multiple of 1451 and 1456 = 2112656

Step 1: Find the prime factorization of 1451

1451 = 1451

Step 2: Find the prime factorization of 1456

1456 = 2 x 2 x 2 x 2 x 7 x 13

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

LCM = 2112656 = 2 x 2 x 2 x 2 x 7 x 13 x 1451

Step 4: Therefore, the least common multiple of 1451 and 1456 is 2112656.