Least Common Multiple of 456 and 458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 456 and 458 the smallest integer that is 104424 that is divisible by both numbers.

Least Common Multiple (LCM) of 456 and 458 is 104424.

LCM(456,458) = 104424

LCM of 456 and 458

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

LCM of:
and

Least Common Multiple of 456 and 458

LCM of 456 and 458 is 104424

Least common multiple can be found by multiplying the highest exponent prime factors of 456 and 458. First we will calculate the prime factors of 456 and 458.

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

Prime Factorization of 458


2 458
229 229
1

Prime factors of 458 are 2,229. Prime factorization of 458 in exponential form is:

458 = 21×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 456 and 458.

LCM(456,458) = 23×31×191×2291
LCM(456,458) = 104424

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

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Least Common Multiple of 456 and 458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 456 and 458, than apply into the LCM equation.

GCF(456,458) = 2
LCM(456,458) = ( 456 × 458) / 2
LCM(456,458) = 208848 / 2
LCM(456,458) = 104424

Properties of LCM 456 and 458

(i) The LCM of 458 and 456 is associative

LCM of 456 and 458 = LCM of 458 and 456

Related Least Common Multiples of 456

Related Least Common Multiples of 458

Frequently Asked Questions on LCM of 456 and 458

1. What is the LCM of 456 and 458?

Answer: LCM of 456 and 458 is 104424.

2. 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.

3. What are the Factors of 458?

Answer: Factors of 458 are 1, 2, 229, 458. There are 4 integers that are factors of 458. The greatest factor of 458 is 458.

4. How to Find the LCM of 456 and 458?

Answer:

Least Common Multiple of 456 and 458 = 104424

Step 1: Find the prime factorization of 456

456 = 2 x 2 x 2 x 3 x 19

Step 2: Find the prime factorization of 458

458 = 2 x 229

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

LCM = 104424 = 2 x 2 x 2 x 3 x 19 x 229

Step 4: Therefore, the least common multiple of 456 and 458 is 104424.