Least Common Multiple of 445 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 445 and 451 the smallest integer that is 200695 that is divisible by both numbers.

Least Common Multiple (LCM) of 445 and 451 is 200695.

LCM(445,451) = 200695

LCM of 445 and 451

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

LCM of:
and

Least Common Multiple of 445 and 451

LCM of 445 and 451 is 200695

Least common multiple can be found by multiplying the highest exponent prime factors of 445 and 451. First we will calculate the prime factors of 445 and 451.

Prime Factorization of 445


5 445
89 89
1

Prime factors of 445 are 5,89. Prime factorization of 445 in exponential form is:

445 = 51×891

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 445 and 451.

LCM(445,451) = 51×111×411×891
LCM(445,451) = 200695

Factors of 445

List of positive integer factors of 445 that divides 445 without a remainder.

1, 5, 89, 445

Factors of 451

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

1, 11, 41, 451

Least Common Multiple of 445 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 445 and 451, than apply into the LCM equation.

GCF(445,451) = 1
LCM(445,451) = ( 445 × 451) / 1
LCM(445,451) = 200695 / 1
LCM(445,451) = 200695

Properties of LCM 445 and 451

(i) The LCM of 451 and 445 is associative

LCM of 445 and 451 = LCM of 451 and 445

Related Least Common Multiples of 445

Related Least Common Multiples of 451

Frequently Asked Questions on LCM of 445 and 451

1. What is the LCM of 445 and 451?

Answer: LCM of 445 and 451 is 200695.

2. What are the Factors of 445?

Answer: Factors of 445 are 1, 5, 89, 445. There are 4 integers that are factors of 445. The greatest factor of 445 is 445.

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 445 and 451?

Answer:

Least Common Multiple of 445 and 451 = 200695

Step 1: Find the prime factorization of 445

445 = 5 x 89

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 = 200695 = 5 x 11 x 41 x 89

Step 4: Therefore, the least common multiple of 445 and 451 is 200695.