Least Common Multiple of 452 and 455

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 455 the smallest integer that is 205660 that is divisible by both numbers.

Least Common Multiple (LCM) of 452 and 455 is 205660.

LCM(452,455) = 205660

LCM of 452 and 455

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

LCM of:
and

Least Common Multiple of 452 and 455

LCM of 452 and 455 is 205660

Least common multiple can be found by multiplying the highest exponent prime factors of 452 and 455. First we will calculate the prime factors of 452 and 455.

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 455


5 455
7 91
13 13
1

Prime factors of 455 are 5, 7,13. Prime factorization of 455 in exponential form is:

455 = 51×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 452 and 455.

LCM(452,455) = 22×51×71×131×1131
LCM(452,455) = 205660

Factors of 452

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

1, 2, 4, 113, 226, 452

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Least Common Multiple of 452 and 455 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 455, than apply into the LCM equation.

GCF(452,455) = 1
LCM(452,455) = ( 452 × 455) / 1
LCM(452,455) = 205660 / 1
LCM(452,455) = 205660

Properties of LCM 452 and 455

(i) The LCM of 455 and 452 is associative

LCM of 452 and 455 = LCM of 455 and 452

Related Least Common Multiples of 452

Related Least Common Multiples of 455

Frequently Asked Questions on LCM of 452 and 455

1. What is the LCM of 452 and 455?

Answer: LCM of 452 and 455 is 205660.

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 455?

Answer: Factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455. There are 8 integers that are factors of 455. The greatest factor of 455 is 455.

4. How to Find the LCM of 452 and 455?

Answer:

Least Common Multiple of 452 and 455 = 205660

Step 1: Find the prime factorization of 452

452 = 2 x 2 x 113

Step 2: Find the prime factorization of 455

455 = 5 x 7 x 13

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

LCM = 205660 = 2 x 2 x 5 x 7 x 13 x 113

Step 4: Therefore, the least common multiple of 452 and 455 is 205660.