Least Common Multiple of 444 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 444 and 451 the smallest integer that is 200244 that is divisible by both numbers.

Least Common Multiple (LCM) of 444 and 451 is 200244.

LCM(444,451) = 200244

LCM of 444 and 451

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

LCM of:
and

Least Common Multiple of 444 and 451

LCM of 444 and 451 is 200244

Least common multiple can be found by multiplying the highest exponent prime factors of 444 and 451. First we will calculate the prime factors of 444 and 451.

Prime Factorization of 444


2 444
2 222
3 111
37 37
1

Prime factors of 444 are 2, 3,37. Prime factorization of 444 in exponential form is:

444 = 22×31×371

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 444 and 451.

LCM(444,451) = 22×31×111×371×411
LCM(444,451) = 200244

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Factors of 451

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

1, 11, 41, 451

Least Common Multiple of 444 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 444 and 451, than apply into the LCM equation.

GCF(444,451) = 1
LCM(444,451) = ( 444 × 451) / 1
LCM(444,451) = 200244 / 1
LCM(444,451) = 200244

Properties of LCM 444 and 451

(i) The LCM of 451 and 444 is associative

LCM of 444 and 451 = LCM of 451 and 444

Related Least Common Multiples of 444

Related Least Common Multiples of 451

Frequently Asked Questions on LCM of 444 and 451

1. What is the LCM of 444 and 451?

Answer: LCM of 444 and 451 is 200244.

2. What are the Factors of 444?

Answer: Factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444. There are 12 integers that are factors of 444. The greatest factor of 444 is 444.

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 444 and 451?

Answer:

Least Common Multiple of 444 and 451 = 200244

Step 1: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

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 = 200244 = 2 x 2 x 3 x 11 x 37 x 41

Step 4: Therefore, the least common multiple of 444 and 451 is 200244.