Least Common Multiple of 452 and 456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 452 and 456 the smallest integer that is 51528 that is divisible by both numbers.

Least Common Multiple (LCM) of 452 and 456 is 51528.

LCM(452,456) = 51528

LCM of 452 and 456

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

LCM of:
and

Least Common Multiple of 452 and 456

LCM of 452 and 456 is 51528

Least common multiple can be found by multiplying the highest exponent prime factors of 452 and 456. First we will calculate the prime factors of 452 and 456.

Prime Factorization of 452


2 452
2 226
113 113
1

Prime factors of 452 are 2,113. Prime factorization of 452 in exponential form is:

452 = 22×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 452 and 456.

LCM(452,456) = 23×31×191×1131
LCM(452,456) = 51528

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

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

Least Common Multiple of 452 and 456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 452 and 456, than apply into the LCM equation.

GCF(452,456) = 4
LCM(452,456) = ( 452 × 456) / 4
LCM(452,456) = 206112 / 4
LCM(452,456) = 51528

Properties of LCM 452 and 456

(i) The LCM of 456 and 452 is associative

LCM of 452 and 456 = LCM of 456 and 452

Related Least Common Multiples of 452

Related Least Common Multiples of 456

Frequently Asked Questions on LCM of 452 and 456

1. What is the LCM of 452 and 456?

Answer: LCM of 452 and 456 is 51528.

2. What are the Factors of 452?

Answer: Factors of 452 are 1, 2, 4, 113, 226, 452. There are 6 integers that are factors of 452. The greatest factor of 452 is 452.

3. 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.

4. How to Find the LCM of 452 and 456?

Answer:

Least Common Multiple of 452 and 456 = 51528

Step 1: Find the prime factorization of 452

452 = 2 x 2 x 113

Step 2: Find the prime factorization of 456

456 = 2 x 2 x 2 x 3 x 19

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

LCM = 51528 = 2 x 2 x 2 x 3 x 19 x 113

Step 4: Therefore, the least common multiple of 452 and 456 is 51528.