Least Common Multiple of 448 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 448 and 451 the smallest integer that is 202048 that is divisible by both numbers.

Least Common Multiple (LCM) of 448 and 451 is 202048.

LCM(448,451) = 202048

LCM of 448 and 451

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

LCM of:
and

Least Common Multiple of 448 and 451

LCM of 448 and 451 is 202048

Least common multiple can be found by multiplying the highest exponent prime factors of 448 and 451. First we will calculate the prime factors of 448 and 451.

Prime Factorization of 448


2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 448 are 2,7. Prime factorization of 448 in exponential form is:

448 = 26×71

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 448 and 451.

LCM(448,451) = 26×71×111×411
LCM(448,451) = 202048

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Factors of 451

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

1, 11, 41, 451

Least Common Multiple of 448 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 448 and 451, than apply into the LCM equation.

GCF(448,451) = 1
LCM(448,451) = ( 448 × 451) / 1
LCM(448,451) = 202048 / 1
LCM(448,451) = 202048

Properties of LCM 448 and 451

(i) The LCM of 451 and 448 is associative

LCM of 448 and 451 = LCM of 451 and 448

Related Least Common Multiples of 448

Related Least Common Multiples of 451

Frequently Asked Questions on LCM of 448 and 451

1. What is the LCM of 448 and 451?

Answer: LCM of 448 and 451 is 202048.

2. What are the Factors of 448?

Answer: Factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448. There are 14 integers that are factors of 448. The greatest factor of 448 is 448.

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 448 and 451?

Answer:

Least Common Multiple of 448 and 451 = 202048

Step 1: Find the prime factorization of 448

448 = 2 x 2 x 2 x 2 x 2 x 2 x 7

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 = 202048 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11 x 41

Step 4: Therefore, the least common multiple of 448 and 451 is 202048.