Least Common Multiple of 454 and 462

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 462 the smallest integer that is 104874 that is divisible by both numbers.

Least Common Multiple (LCM) of 454 and 462 is 104874.

LCM(454,462) = 104874

LCM of 454 and 462

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

LCM of:
and

Least Common Multiple of 454 and 462

LCM of 454 and 462 is 104874

Least common multiple can be found by multiplying the highest exponent prime factors of 454 and 462. First we will calculate the prime factors of 454 and 462.

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 462


2 462
3 231
7 77
11 11
1

Prime factors of 462 are 2, 3, 7,11. Prime factorization of 462 in exponential form is:

462 = 21×31×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 454 and 462.

LCM(454,462) = 21×31×71×111×2271
LCM(454,462) = 104874

Factors of 454

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

1, 2, 227, 454

Factors of 462

List of positive integer factors of 462 that divides 462 without a remainder.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Least Common Multiple of 454 and 462 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 462, than apply into the LCM equation.

GCF(454,462) = 2
LCM(454,462) = ( 454 × 462) / 2
LCM(454,462) = 209748 / 2
LCM(454,462) = 104874

Properties of LCM 454 and 462

(i) The LCM of 462 and 454 is associative

LCM of 454 and 462 = LCM of 462 and 454

Related Least Common Multiples of 454

Related Least Common Multiples of 462

Frequently Asked Questions on LCM of 454 and 462

1. What is the LCM of 454 and 462?

Answer: LCM of 454 and 462 is 104874.

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 462?

Answer: Factors of 462 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462. There are 16 integers that are factors of 462. The greatest factor of 462 is 462.

4. How to Find the LCM of 454 and 462?

Answer:

Least Common Multiple of 454 and 462 = 104874

Step 1: Find the prime factorization of 454

454 = 2 x 227

Step 2: Find the prime factorization of 462

462 = 2 x 3 x 7 x 11

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

LCM = 104874 = 2 x 3 x 7 x 11 x 227

Step 4: Therefore, the least common multiple of 454 and 462 is 104874.