Least Common Multiple of 452 and 454

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 454 the smallest integer that is 102604 that is divisible by both numbers.

Least Common Multiple (LCM) of 452 and 454 is 102604.

LCM(452,454) = 102604

LCM of 452 and 454

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

LCM of:
and

Least Common Multiple of 452 and 454

LCM of 452 and 454 is 102604

Least common multiple can be found by multiplying the highest exponent prime factors of 452 and 454. First we will calculate the prime factors of 452 and 454.

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 454


2 454
227 227
1

Prime factors of 454 are 2,227. Prime factorization of 454 in exponential form is:

454 = 21×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 452 and 454.

LCM(452,454) = 22×1131×2271
LCM(452,454) = 102604

Factors of 452

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

1, 2, 4, 113, 226, 452

Factors of 454

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

1, 2, 227, 454

Least Common Multiple of 452 and 454 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 454, than apply into the LCM equation.

GCF(452,454) = 2
LCM(452,454) = ( 452 × 454) / 2
LCM(452,454) = 205208 / 2
LCM(452,454) = 102604

Properties of LCM 452 and 454

(i) The LCM of 454 and 452 is associative

LCM of 452 and 454 = LCM of 454 and 452

Related Least Common Multiples of 452

Related Least Common Multiples of 454

Frequently Asked Questions on LCM of 452 and 454

1. What is the LCM of 452 and 454?

Answer: LCM of 452 and 454 is 102604.

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 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.

4. How to Find the LCM of 452 and 454?

Answer:

Least Common Multiple of 452 and 454 = 102604

Step 1: Find the prime factorization of 452

452 = 2 x 2 x 113

Step 2: Find the prime factorization of 454

454 = 2 x 227

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

LCM = 102604 = 2 x 2 x 113 x 227

Step 4: Therefore, the least common multiple of 452 and 454 is 102604.