Least Common Multiple of 449 and 451

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 449 and 451 the smallest integer that is 202499 that is divisible by both numbers.

Least Common Multiple (LCM) of 449 and 451 is 202499.

LCM(449,451) = 202499

LCM of 449 and 451

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

LCM of:
and

Least Common Multiple of 449 and 451

LCM of 449 and 451 is 202499

Least common multiple can be found by multiplying the highest exponent prime factors of 449 and 451. First we will calculate the prime factors of 449 and 451.

Prime Factorization of 449


449 449
1

Prime factors of 449 are 449. Prime factorization of 449 in exponential form is:

449 = 4491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 449 and 451.

LCM(449,451) = 111×411×4491
LCM(449,451) = 202499

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1, 449

Factors of 451

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

1, 11, 41, 451

Least Common Multiple of 449 and 451 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 449 and 451, than apply into the LCM equation.

GCF(449,451) = 1
LCM(449,451) = ( 449 × 451) / 1
LCM(449,451) = 202499 / 1
LCM(449,451) = 202499

Properties of LCM 449 and 451

(i) The LCM of 451 and 449 is associative

LCM of 449 and 451 = LCM of 451 and 449

Related Least Common Multiples of 449

Related Least Common Multiples of 451

Frequently Asked Questions on LCM of 449 and 451

1. What is the LCM of 449 and 451?

Answer: LCM of 449 and 451 is 202499.

2. What are the Factors of 449?

Answer: Factors of 449 are 1, 449. There are 2 integers that are factors of 449. The greatest factor of 449 is 449.

3. 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.

4. How to Find the LCM of 449 and 451?

Answer:

Least Common Multiple of 449 and 451 = 202499

Step 1: Find the prime factorization of 449

449 = 449

Step 2: Find the prime factorization of 451

451 = 11 x 41

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

LCM = 202499 = 11 x 41 x 449

Step 4: Therefore, the least common multiple of 449 and 451 is 202499.