Least Common Multiple of 446 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 446 and 451 the smallest integer that is 201146 that is divisible by both numbers.

Least Common Multiple (LCM) of 446 and 451 is 201146.

LCM(446,451) = 201146

LCM of 446 and 451

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

LCM of:
and

Least Common Multiple of 446 and 451

LCM of 446 and 451 is 201146

Least common multiple can be found by multiplying the highest exponent prime factors of 446 and 451. First we will calculate the prime factors of 446 and 451.

Prime Factorization of 446


2 446
223 223
1

Prime factors of 446 are 2,223. Prime factorization of 446 in exponential form is:

446 = 21×2231

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 446 and 451.

LCM(446,451) = 21×111×411×2231
LCM(446,451) = 201146

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Factors of 451

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

1, 11, 41, 451

Least Common Multiple of 446 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 446 and 451, than apply into the LCM equation.

GCF(446,451) = 1
LCM(446,451) = ( 446 × 451) / 1
LCM(446,451) = 201146 / 1
LCM(446,451) = 201146

Properties of LCM 446 and 451

(i) The LCM of 451 and 446 is associative

LCM of 446 and 451 = LCM of 451 and 446

Related Least Common Multiples of 446

Related Least Common Multiples of 451

Frequently Asked Questions on LCM of 446 and 451

1. What is the LCM of 446 and 451?

Answer: LCM of 446 and 451 is 201146.

2. What are the Factors of 446?

Answer: Factors of 446 are 1, 2, 223, 446. There are 4 integers that are factors of 446. The greatest factor of 446 is 446.

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 446 and 451?

Answer:

Least Common Multiple of 446 and 451 = 201146

Step 1: Find the prime factorization of 446

446 = 2 x 223

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 = 201146 = 2 x 11 x 41 x 223

Step 4: Therefore, the least common multiple of 446 and 451 is 201146.