Least Common Multiple of 453 and 460

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 460 the smallest integer that is 208380 that is divisible by both numbers.

Least Common Multiple (LCM) of 453 and 460 is 208380.

LCM(453,460) = 208380

LCM of 453 and 460

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

LCM of:
and

Least Common Multiple of 453 and 460

LCM of 453 and 460 is 208380

Least common multiple can be found by multiplying the highest exponent prime factors of 453 and 460. First we will calculate the prime factors of 453 and 460.

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 460


2 460
2 230
5 115
23 23
1

Prime factors of 460 are 2, 5,23. Prime factorization of 460 in exponential form is:

460 = 22×51×231

Now multiplying the highest exponent prime factors to calculate the LCM of 453 and 460.

LCM(453,460) = 22×31×51×231×1511
LCM(453,460) = 208380

Factors of 453

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

1, 3, 151, 453

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Least Common Multiple of 453 and 460 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 460, than apply into the LCM equation.

GCF(453,460) = 1
LCM(453,460) = ( 453 × 460) / 1
LCM(453,460) = 208380 / 1
LCM(453,460) = 208380

Properties of LCM 453 and 460

(i) The LCM of 460 and 453 is associative

LCM of 453 and 460 = LCM of 460 and 453

Related Least Common Multiples of 453

Related Least Common Multiples of 460

Frequently Asked Questions on LCM of 453 and 460

1. What is the LCM of 453 and 460?

Answer: LCM of 453 and 460 is 208380.

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 460?

Answer: Factors of 460 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460. There are 12 integers that are factors of 460. The greatest factor of 460 is 460.

4. How to Find the LCM of 453 and 460?

Answer:

Least Common Multiple of 453 and 460 = 208380

Step 1: Find the prime factorization of 453

453 = 3 x 151

Step 2: Find the prime factorization of 460

460 = 2 x 2 x 5 x 23

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

LCM = 208380 = 2 x 2 x 3 x 5 x 23 x 151

Step 4: Therefore, the least common multiple of 453 and 460 is 208380.