Least Common Multiple of 454 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 454 and 456 the smallest integer that is 103512 that is divisible by both numbers.

Least Common Multiple (LCM) of 454 and 456 is 103512.

LCM(454,456) = 103512

LCM of 454 and 456

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

LCM of:
and

Least Common Multiple of 454 and 456

LCM of 454 and 456 is 103512

Least common multiple can be found by multiplying the highest exponent prime factors of 454 and 456. First we will calculate the prime factors of 454 and 456.

Prime Factorization of 454


2 454
227 227
1

Prime factors of 454 are 2,227. Prime factorization of 454 in exponential form is:

454 = 21×2271

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 454 and 456.

LCM(454,456) = 23×31×191×2271
LCM(454,456) = 103512

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1, 2, 227, 454

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 454 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 454 and 456, than apply into the LCM equation.

GCF(454,456) = 2
LCM(454,456) = ( 454 × 456) / 2
LCM(454,456) = 207024 / 2
LCM(454,456) = 103512

Properties of LCM 454 and 456

(i) The LCM of 456 and 454 is associative

LCM of 454 and 456 = LCM of 456 and 454

Related Least Common Multiples of 454

Related Least Common Multiples of 456

Frequently Asked Questions on LCM of 454 and 456

1. What is the LCM of 454 and 456?

Answer: LCM of 454 and 456 is 103512.

2. What are the Factors of 454?

Answer: Factors of 454 are 1, 2, 227, 454. There are 4 integers that are factors of 454. The greatest factor of 454 is 454.

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 454 and 456?

Answer:

Least Common Multiple of 454 and 456 = 103512

Step 1: Find the prime factorization of 454

454 = 2 x 227

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 = 103512 = 2 x 2 x 2 x 3 x 19 x 227

Step 4: Therefore, the least common multiple of 454 and 456 is 103512.