Least Common Multiple of 455 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 455 and 456 the smallest integer that is 207480 that is divisible by both numbers.

Least Common Multiple (LCM) of 455 and 456 is 207480.

LCM(455,456) = 207480

LCM of 455 and 456

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

LCM of:
and

Least Common Multiple of 455 and 456

LCM of 455 and 456 is 207480

Least common multiple can be found by multiplying the highest exponent prime factors of 455 and 456. First we will calculate the prime factors of 455 and 456.

Prime Factorization of 455


5 455
7 91
13 13
1

Prime factors of 455 are 5, 7,13. Prime factorization of 455 in exponential form is:

455 = 51×71×131

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 455 and 456.

LCM(455,456) = 23×31×51×71×131×191
LCM(455,456) = 207480

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

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 455 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 455 and 456, than apply into the LCM equation.

GCF(455,456) = 1
LCM(455,456) = ( 455 × 456) / 1
LCM(455,456) = 207480 / 1
LCM(455,456) = 207480

Properties of LCM 455 and 456

(i) The LCM of 456 and 455 is associative

LCM of 455 and 456 = LCM of 456 and 455

Related Least Common Multiples of 455

Related Least Common Multiples of 456

Frequently Asked Questions on LCM of 455 and 456

1. What is the LCM of 455 and 456?

Answer: LCM of 455 and 456 is 207480.

2. What are the Factors of 455?

Answer: Factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455. There are 8 integers that are factors of 455. The greatest factor of 455 is 455.

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 455 and 456?

Answer:

Least Common Multiple of 455 and 456 = 207480

Step 1: Find the prime factorization of 455

455 = 5 x 7 x 13

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 = 207480 = 2 x 2 x 2 x 3 x 5 x 7 x 13 x 19

Step 4: Therefore, the least common multiple of 455 and 456 is 207480.