Least Common Multiple of 451 and 456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 451 and 456 the smallest integer that is 205656 that is divisible by both numbers.

Least Common Multiple (LCM) of 451 and 456 is 205656.

LCM(451,456) = 205656

LCM of 451 and 456

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

LCM of:
and

Least Common Multiple of 451 and 456

LCM of 451 and 456 is 205656

Least common multiple can be found by multiplying the highest exponent prime factors of 451 and 456. First we will calculate the prime factors of 451 and 456.

Prime Factorization of 451


11 451
41 41
1

Prime factors of 451 are 11,41. Prime factorization of 451 in exponential form is:

451 = 111×411

Prime Factorization of 456


2 456
2 228
2 114
3 57
19 19
1

Prime factors of 456 are 2, 3,19. Prime factorization of 456 in exponential form is:

456 = 23×31×191

Now multiplying the highest exponent prime factors to calculate the LCM of 451 and 456.

LCM(451,456) = 23×31×111×191×411
LCM(451,456) = 205656

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Least Common Multiple of 451 and 456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 451 and 456, than apply into the LCM equation.

GCF(451,456) = 1
LCM(451,456) = ( 451 × 456) / 1
LCM(451,456) = 205656 / 1
LCM(451,456) = 205656

Properties of LCM 451 and 456

(i) The LCM of 456 and 451 is associative

LCM of 451 and 456 = LCM of 456 and 451

Related Least Common Multiples of 451

Related Least Common Multiples of 456

Frequently Asked Questions on LCM of 451 and 456

1. What is the LCM of 451 and 456?

Answer: LCM of 451 and 456 is 205656.

2. What are the Factors of 451?

Answer: Factors of 451 are 1, 11, 41, 451. There are 4 integers that are factors of 451. The greatest factor of 451 is 451.

3. What are the Factors of 456?

Answer: Factors of 456 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456. There are 16 integers that are factors of 456. The greatest factor of 456 is 456.

4. How to Find the LCM of 451 and 456?

Answer:

Least Common Multiple of 451 and 456 = 205656

Step 1: Find the prime factorization of 451

451 = 11 x 41

Step 2: Find the prime factorization of 456

456 = 2 x 2 x 2 x 3 x 19

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

LCM = 205656 = 2 x 2 x 2 x 3 x 11 x 19 x 41

Step 4: Therefore, the least common multiple of 451 and 456 is 205656.