Least Common Multiple of 453 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 453 and 456 the smallest integer that is 68856 that is divisible by both numbers.

Least Common Multiple (LCM) of 453 and 456 is 68856.

LCM(453,456) = 68856

LCM of 453 and 456

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

LCM of:
and

Least Common Multiple of 453 and 456

LCM of 453 and 456 is 68856

Least common multiple can be found by multiplying the highest exponent prime factors of 453 and 456. First we will calculate the prime factors of 453 and 456.

Prime Factorization of 453


3 453
151 151
1

Prime factors of 453 are 3,151. Prime factorization of 453 in exponential form is:

453 = 31×1511

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 453 and 456.

LCM(453,456) = 23×31×191×1511
LCM(453,456) = 68856

Factors of 453

List of positive integer factors of 453 that divides 453 without a remainder.

1, 3, 151, 453

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 453 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 453 and 456, than apply into the LCM equation.

GCF(453,456) = 3
LCM(453,456) = ( 453 × 456) / 3
LCM(453,456) = 206568 / 3
LCM(453,456) = 68856

Properties of LCM 453 and 456

(i) The LCM of 456 and 453 is associative

LCM of 453 and 456 = LCM of 456 and 453

Related Least Common Multiples of 453

Related Least Common Multiples of 456

Frequently Asked Questions on LCM of 453 and 456

1. What is the LCM of 453 and 456?

Answer: LCM of 453 and 456 is 68856.

2. What are the Factors of 453?

Answer: Factors of 453 are 1, 3, 151, 453. There are 4 integers that are factors of 453. The greatest factor of 453 is 453.

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 453 and 456?

Answer:

Least Common Multiple of 453 and 456 = 68856

Step 1: Find the prime factorization of 453

453 = 3 x 151

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 = 68856 = 2 x 2 x 2 x 3 x 19 x 151

Step 4: Therefore, the least common multiple of 453 and 456 is 68856.