Least Common Multiple of 451 and 452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 451 and 452 the smallest integer that is 203852 that is divisible by both numbers.

Least Common Multiple (LCM) of 451 and 452 is 203852.

LCM(451,452) = 203852

LCM of 451 and 452

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

LCM of:
and

Least Common Multiple of 451 and 452

LCM of 451 and 452 is 203852

Least common multiple can be found by multiplying the highest exponent prime factors of 451 and 452. First we will calculate the prime factors of 451 and 452.

Prime Factorization of 451


11 451
41 41
1

Prime factors of 451 are 11,41. Prime factorization of 451 in exponential form is:

451 = 111×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 451 and 452.

LCM(451,452) = 22×111×411×1131
LCM(451,452) = 203852

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Factors of 452

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

1, 2, 4, 113, 226, 452

Least Common Multiple of 451 and 452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 451 and 452, than apply into the LCM equation.

GCF(451,452) = 1
LCM(451,452) = ( 451 × 452) / 1
LCM(451,452) = 203852 / 1
LCM(451,452) = 203852

Properties of LCM 451 and 452

(i) The LCM of 452 and 451 is associative

LCM of 451 and 452 = LCM of 452 and 451

Related Least Common Multiples of 451

Related Least Common Multiples of 452

Frequently Asked Questions on LCM of 451 and 452

1. What is the LCM of 451 and 452?

Answer: LCM of 451 and 452 is 203852.

2. What are the Factors of 451?

Answer: Factors of 451 are 1, 11, 41, 451. There are 4 integers that are factors of 451. The greatest factor of 451 is 451.

3. 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.

4. How to Find the LCM of 451 and 452?

Answer:

Least Common Multiple of 451 and 452 = 203852

Step 1: Find the prime factorization of 451

451 = 11 x 41

Step 2: Find the prime factorization of 452

452 = 2 x 2 x 113

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

LCM = 203852 = 2 x 2 x 11 x 41 x 113

Step 4: Therefore, the least common multiple of 451 and 452 is 203852.