Least Common Multiple of 446 and 452

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 452 the smallest integer that is 100796 that is divisible by both numbers.

Least Common Multiple (LCM) of 446 and 452 is 100796.

LCM(446,452) = 100796

LCM of 446 and 452

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

LCM of:
and

Least Common Multiple of 446 and 452

LCM of 446 and 452 is 100796

Least common multiple can be found by multiplying the highest exponent prime factors of 446 and 452. First we will calculate the prime factors of 446 and 452.

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 452


2 452
2 226
113 113
1

Prime factors of 452 are 2,113. Prime factorization of 452 in exponential form is:

452 = 22×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 446 and 452.

LCM(446,452) = 22×1131×2231
LCM(446,452) = 100796

Factors of 446

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

1, 2, 223, 446

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Least Common Multiple of 446 and 452 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 452, than apply into the LCM equation.

GCF(446,452) = 2
LCM(446,452) = ( 446 × 452) / 2
LCM(446,452) = 201592 / 2
LCM(446,452) = 100796

Properties of LCM 446 and 452

(i) The LCM of 452 and 446 is associative

LCM of 446 and 452 = LCM of 452 and 446

Related Least Common Multiples of 446

Related Least Common Multiples of 452

Frequently Asked Questions on LCM of 446 and 452

1. What is the LCM of 446 and 452?

Answer: LCM of 446 and 452 is 100796.

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 452?

Answer: Factors of 452 are 1, 2, 4, 113, 226, 452. There are 6 integers that are factors of 452. The greatest factor of 452 is 452.

4. How to Find the LCM of 446 and 452?

Answer:

Least Common Multiple of 446 and 452 = 100796

Step 1: Find the prime factorization of 446

446 = 2 x 223

Step 2: Find the prime factorization of 452

452 = 2 x 2 x 113

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

LCM = 100796 = 2 x 2 x 113 x 223

Step 4: Therefore, the least common multiple of 446 and 452 is 100796.