Least Common Multiple of 454 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 454 and 460 the smallest integer that is 104420 that is divisible by both numbers.

Least Common Multiple (LCM) of 454 and 460 is 104420.

LCM(454,460) = 104420

LCM of 454 and 460

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

LCM of:
and

Least Common Multiple of 454 and 460

LCM of 454 and 460 is 104420

Least common multiple can be found by multiplying the highest exponent prime factors of 454 and 460. First we will calculate the prime factors of 454 and 460.

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 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 454 and 460.

LCM(454,460) = 22×51×231×2271
LCM(454,460) = 104420

Factors of 454

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

1, 2, 227, 454

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 454 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 454 and 460, than apply into the LCM equation.

GCF(454,460) = 2
LCM(454,460) = ( 454 × 460) / 2
LCM(454,460) = 208840 / 2
LCM(454,460) = 104420

Properties of LCM 454 and 460

(i) The LCM of 460 and 454 is associative

LCM of 454 and 460 = LCM of 460 and 454

Related Least Common Multiples of 454

Related Least Common Multiples of 460

Frequently Asked Questions on LCM of 454 and 460

1. What is the LCM of 454 and 460?

Answer: LCM of 454 and 460 is 104420.

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 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 454 and 460?

Answer:

Least Common Multiple of 454 and 460 = 104420

Step 1: Find the prime factorization of 454

454 = 2 x 227

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 = 104420 = 2 x 2 x 5 x 23 x 227

Step 4: Therefore, the least common multiple of 454 and 460 is 104420.