Least Common Multiple of 454 and 461

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 461 the smallest integer that is 209294 that is divisible by both numbers.

Least Common Multiple (LCM) of 454 and 461 is 209294.

LCM(454,461) = 209294

LCM of 454 and 461

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

LCM of:
and

Least Common Multiple of 454 and 461

LCM of 454 and 461 is 209294

Least common multiple can be found by multiplying the highest exponent prime factors of 454 and 461. First we will calculate the prime factors of 454 and 461.

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 461


461 461
1

Prime factors of 461 are 461. Prime factorization of 461 in exponential form is:

461 = 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 454 and 461.

LCM(454,461) = 21×2271×4611
LCM(454,461) = 209294

Factors of 454

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

1, 2, 227, 454

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1, 461

Least Common Multiple of 454 and 461 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 461, than apply into the LCM equation.

GCF(454,461) = 1
LCM(454,461) = ( 454 × 461) / 1
LCM(454,461) = 209294 / 1
LCM(454,461) = 209294

Properties of LCM 454 and 461

(i) The LCM of 461 and 454 is associative

LCM of 454 and 461 = LCM of 461 and 454

Related Least Common Multiples of 454

Related Least Common Multiples of 461

Frequently Asked Questions on LCM of 454 and 461

1. What is the LCM of 454 and 461?

Answer: LCM of 454 and 461 is 209294.

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 461?

Answer: Factors of 461 are 1, 461. There are 2 integers that are factors of 461. The greatest factor of 461 is 461.

4. How to Find the LCM of 454 and 461?

Answer:

Least Common Multiple of 454 and 461 = 209294

Step 1: Find the prime factorization of 454

454 = 2 x 227

Step 2: Find the prime factorization of 461

461 = 461

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

LCM = 209294 = 2 x 227 x 461

Step 4: Therefore, the least common multiple of 454 and 461 is 209294.