Least Common Multiple of 452 and 457

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 457 the smallest integer that is 206564 that is divisible by both numbers.

Least Common Multiple (LCM) of 452 and 457 is 206564.

LCM(452,457) = 206564

LCM of 452 and 457

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

LCM of:
and

Least Common Multiple of 452 and 457

LCM of 452 and 457 is 206564

Least common multiple can be found by multiplying the highest exponent prime factors of 452 and 457. First we will calculate the prime factors of 452 and 457.

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 457


457 457
1

Prime factors of 457 are 457. Prime factorization of 457 in exponential form is:

457 = 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 452 and 457.

LCM(452,457) = 22×1131×4571
LCM(452,457) = 206564

Factors of 452

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

1, 2, 4, 113, 226, 452

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1, 457

Least Common Multiple of 452 and 457 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 457, than apply into the LCM equation.

GCF(452,457) = 1
LCM(452,457) = ( 452 × 457) / 1
LCM(452,457) = 206564 / 1
LCM(452,457) = 206564

Properties of LCM 452 and 457

(i) The LCM of 457 and 452 is associative

LCM of 452 and 457 = LCM of 457 and 452

Related Least Common Multiples of 452

Related Least Common Multiples of 457

Frequently Asked Questions on LCM of 452 and 457

1. What is the LCM of 452 and 457?

Answer: LCM of 452 and 457 is 206564.

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 457?

Answer: Factors of 457 are 1, 457. There are 2 integers that are factors of 457. The greatest factor of 457 is 457.

4. How to Find the LCM of 452 and 457?

Answer:

Least Common Multiple of 452 and 457 = 206564

Step 1: Find the prime factorization of 452

452 = 2 x 2 x 113

Step 2: Find the prime factorization of 457

457 = 457

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

LCM = 206564 = 2 x 2 x 113 x 457

Step 4: Therefore, the least common multiple of 452 and 457 is 206564.